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Finding the Third Proportional to 95,386,713 and 206,619,909

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Solution

The third proportional to 95,386,713 and 206,619,909 is: 447,565,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,386,713 : 206,619,909 = 206,619,909 : x
  2. Step 2: Convert to fraction form
    95,386,713/206,619,909 = 206,619,909/x
  3. Step 3: Cross multiply
    95,386,713x = 206,619,909 × 206,619,909
  4. Step 4: Simplify right side
    95,386,713x = 42,691,786,795,168,280
  5. Step 5: Solve for x
    x = 42,691,786,795,168,280/95,386,713
  6. Step 6: Final answer
    x = 447,565,341.68

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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.