How Does the Charge Simulation Method Determine Q1, Q2, and Q3?

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MissP.25_5
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Hello. This is not homework, so I am posting this here because I feel this is the right place to do so.
How do I find charges Q1, Q2 and Q3? The answers are given as follow:

Q1 = Q3 (This is due to the symmetrical arrangement)
= 6.97 x 10^-11 [C]

Q2 = 1.44 x 10^-11 [C]

I really appreciate if anyone could help me out.

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