IRR Math (Payout in Multiple Years) Question

Hey guys, quick question.

Let's say I'm a sponsor and I have the following cash flow profile when investing in a business

Entry (i.e. inital equity investment): (100) Y1: 0 Y2: 0 Y3: 200 Y4: 0 Y5: 300

The IRR of the above profile, as calculated on Excel is 50%. I am trying to reconcile this mentally and I get the following:

2x MOIC in 3 years = 26% IRR 3x MOIC in 5 years = 25% IRR

Why isn't the overall IRR a weighted average of the two IRRs deduced above (i.e. (40%26%) + (60%25%) = 25.4%)? What am I missing about the underlying IRR math?

Thanks!

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