The E82 rear muffler section will not fit the E84. I bought an E82 N55 muffler because the insides look just like the diagram above. The pipe leading to the muffler does not fit at all, so I cut the muffler off and adapted it to the E84 pipe. The tips are slightly mis-aligned due to the shape differences of the bumpers between the cars, but with the slip-on tips you can adjust it a bit. Now my car sounds like an N55 E82 though, so I'm happy
edit: here's my thread from many moons ago so you can see what the inside of the E82 N55 muffler looks like
https://www.1addicts.com/forums/showthread.php?t=963343
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13 X1 35iX, 98 Z3 2.8, 01 M Coupe, 96 Z3 1.9 DASC, 95 318ti, 13 smart fortwo