David Ortiz has the most career ribbies versus the Rays, with 178 RBIs.

Interpreted as:

most career rbi by a player against the rays

	NAME	RBI	G	AB	R	H	2B	3B	HR	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	David Ortiz D. Ortiz	178	247	883	144	245	69	2	53	164	4	162	0	1	1,060	477	124	1	8	28	25	.277	.390	.540	.930
2	Alex Rodriguez A. Rodriguez	160	231	877	157	234	51	2	56	105	15	219	23	7	1,002	457	109	0	5	7	22	.267	.353	.521	.874
3	Manny Ramirez M. Ramirez	143	153	575	112	178	47	2	41	86	12	148	4	2	680	352	90	0	7	15	16	.310	.406	.612	1.018
4	Derek Jeter D. Jeter	124	260	1,064	184	317	59	6	21	88	18	165	30	9	1,184	451	86	8	6	4	35	.298	.360	.424	.784
5	Jason Giambi J. Giambi	117	147	478	95	139	24	0	32	120	15	92	1	2	619	259	56	0	6	10	8	.291	.443	.542	.984
6	Jorge Posada J. Posada	115	190	632	77	163	32	1	23	101	6	140	2	3	746	266	56	0	7	7	20	.258	.362	.421	.783
7	Johnny Damon J. Damon	104	176	713	125	198	39	8	24	71	2	80	33	7	796	325	71	2	8	2	4	.278	.341	.456	.797
8	Robinson Cano R. Cano	103	181	681	100	210	37	5	25	50	5	97	4	3	745	332	67	1	8	9	20	.308	.356	.488	.844
9	Hideki Matsui H. Matsui	99	129	477	77	150	33	1	23	62	2	67	1	1	543	254	57	0	2	3	11	.314	.394	.532	.927
10	Melvin Mora M. Mora	91	142	559	88	137	21	1	25	59	8	110	11	8	632	235	47	2	4	1	9	.245	.324	.420	.744
11	Mark Teixeira M. Teixeira	87	147	531	78	137	30	2	27	71	9	110	4	1	620	252	59	0	9	5	10	.258	.350	.475	.825
12	Adam Jones A. Jones	86	184	708	87	197	34	1	26	28	7	149	15	3	746	311	61	0	3	2	14	.278	.311	.439	.750
13	Carlos Delgado C. Delgado	86	108	378	82	107	25	0	32	69	11	90	0	0	465	228	57	0	7	11	5	.283	.402	.603	1.005
14	Chris Davis C. Davis	85	138	465	67	106	19	1	33	68	7	172	4	1	543	226	53	1	2	5	9	.228	.334	.486	.820
15	Jose Bautista J. Bautista	85	159	510	85	121	23	2	32	106	12	126	5	2	637	244	57	2	7	7	12	.237	.376	.478	.855
16	Miguel Tejada M. Tejada	85	136	530	91	159	29	0	23	42	9	69	7	3	589	257	52	2	6	1	20	.300	.358	.485	.843
17	Xander Bogaerts X. Bogaerts	82	155	571	84	172	45	2	15	60	6	134	15	3	645	266	62	0	8	4	15	.301	.369	.466	.835
18	Adam Lind A. Lind	82	116	422	47	115	21	3	24	35	2	92	0	3	463	214	48	0	4	3	11	.273	.328	.507	.835
19	Jason Varitek J. Varitek	77	160	523	66	132	34	2	21	59	8	127	2	2	598	233	57	3	5	1	16	.252	.334	.446	.780
20	Nick Markakis N. Markakis	75	159	608	78	157	24	3	17	65	3	82	7	4	682	238	44	1	5	3	15	.258	.330	.391	.722
21	Kevin Millar K. Millar	75	127	439	72	127	37	1	18	61	15	81	0	1	517	220	56	0	2	0	11	.289	.393	.501	.894
22	Bernie Williams B. Williams	75	124	466	90	154	24	3	20	61	4	73	3	1	536	244	47	1	4	8	11	.330	.409	.524	.933
23	Victor Martinez V. Martinez	73	92	363	45	121	18	0	14	31	1	44	0	0	399	181	32	0	4	3	9	.333	.383	.499	.882
24	Vernon Wells V. Wells	72	182	688	79	165	38	5	18	47	5	106	6	6	751	267	61	0	11	1	15	.240	.289	.388	.677
25	Eric Chavez E. Chavez	72	101	350	52	95	17	1	16	46	0	59	1	0	401	162	34	0	5	3	8	.271	.352	.463	.814

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StatMuse has game-level data for RBIs going back to the 1920 season.

Some of the information used here was obtained free of charge from Retrosheet.

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Thu 3/26	BOS	@	CIN	4:10 PM
Sat 3/28	BOS	@	CIN	4:10 PM
Sun 3/29	BOS	@	CIN	1:40 PM
Mon 3/30	BOS	@	HOU	8:10 PM
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Phillies - y	96	66	.593
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Braves	76	86	.469	20.0
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Cubs - w	92	70	.568	5.0
Reds - w	83	79	.512	14.0
Cardinals	78	84	.481	19.0
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Tue 9/16	ATL	@	WSH	9-4
Tue 9/16	ATH	@	BOS	4-5
Tue 9/16	TOR	@	TBR	1-2
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DATE	MATCHUP			TIME (ET)
Wed 3/25	NYY	@	SFG	8:05 PM
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David Ortiz has the most career ribbies versus the Rays, with 178 RBIs.

Interpreted as:

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