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Finding the Third Proportional to 317,677,214 and 688,105,192

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Solution

The third proportional to 317,677,214 and 688,105,192 is: 1,490,471,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,677,214 : 688,105,192 = 688,105,192 : x
  2. Step 2: Convert to fraction form
    317,677,214/688,105,192 = 688,105,192/x
  3. Step 3: Cross multiply
    317,677,214x = 688,105,192 × 688,105,192
  4. Step 4: Simplify right side
    317,677,214x = 473,488,755,257,356,864
  5. Step 5: Solve for x
    x = 473,488,755,257,356,864/317,677,214
  6. Step 6: Final answer
    x = 1,490,471,253.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.