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Finding the Third Proportional to 196,930,772 and 428,538,616

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Solution

The third proportional to 196,930,772 and 428,538,616 is: 932,537,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,930,772 : 428,538,616 = 428,538,616 : x
  2. Step 2: Convert to fraction form
    196,930,772/428,538,616 = 428,538,616/x
  3. Step 3: Cross multiply
    196,930,772x = 428,538,616 × 428,538,616
  4. Step 4: Simplify right side
    196,930,772x = 183,645,345,403,195,456
  5. Step 5: Solve for x
    x = 183,645,345,403,195,456/196,930,772
  6. Step 6: Final answer
    x = 932,537,579.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.