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Finding the Third Proportional to 95,386,715 and 206,619,915

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Solution

The third proportional to 95,386,715 and 206,619,915 is: 447,565,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,386,715 : 206,619,915 = 206,619,915 : x
  2. Step 2: Convert to fraction form
    95,386,715/206,619,915 = 206,619,915/x
  3. Step 3: Cross multiply
    95,386,715x = 206,619,915 × 206,619,915
  4. Step 4: Simplify right side
    95,386,715x = 42,691,789,274,607,224
  5. Step 5: Solve for x
    x = 42,691,789,274,607,224/95,386,715
  6. Step 6: Final answer
    x = 447,565,358.29

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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.