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Finding the Third Proportional to 95,386,614 and 206,619,694

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Solution

The third proportional to 95,386,614 and 206,619,694 is: 447,564,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,386,614 : 206,619,694 = 206,619,694 : x
  2. Step 2: Convert to fraction form
    95,386,614/206,619,694 = 206,619,694/x
  3. Step 3: Cross multiply
    95,386,614x = 206,619,694 × 206,619,694
  4. Step 4: Simplify right side
    95,386,614x = 42,691,697,948,653,632
  5. Step 5: Solve for x
    x = 42,691,697,948,653,632/95,386,614
  6. Step 6: Final answer
    x = 447,564,874.76

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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.