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Finding the Third Proportional to 138,231,414 and 296,976,704

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Solution

The third proportional to 138,231,414 and 296,976,704 is: 638,025,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,231,414 : 296,976,704 = 296,976,704 : x
  2. Step 2: Convert to fraction form
    138,231,414/296,976,704 = 296,976,704/x
  3. Step 3: Cross multiply
    138,231,414x = 296,976,704 × 296,976,704
  4. Step 4: Simplify right side
    138,231,414x = 88,195,162,718,703,616
  5. Step 5: Solve for x
    x = 88,195,162,718,703,616/138,231,414
  6. Step 6: Final answer
    x = 638,025,468.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.