If an AP has $S_{10}=3S_5$, what's the ratio of $u_{10}$ to $u_5$?

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An arithmetic progression is such that the sum of the first 10 terms is 3 times the sum of the first 5 terms. Find the ratio of the 10th term to the 5th term.

Given further that the 5th term is \(0.14\), calculate the sum of the first 200 terms.