Question about prime numbers $p$ and $q$ and the sum $= p+q$

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My question: If $p$ and $q$ are prime numbers and $4/q^3 = p^2/50$, what is the value of $(p+q)$?

I rearranged the question to get $p^2 * q^3 = 200$. I do not know what to do after that. Thanks.

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Hint:

The unique prime factorization of $200$ is $5^22^3$.