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Finding the Third Proportional to 115,870,086 and 251,669,214

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Solution

The third proportional to 115,870,086 and 251,669,214 is: 546,624,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,870,086 : 251,669,214 = 251,669,214 : x
  2. Step 2: Convert to fraction form
    115,870,086/251,669,214 = 251,669,214/x
  3. Step 3: Cross multiply
    115,870,086x = 251,669,214 × 251,669,214
  4. Step 4: Simplify right side
    115,870,086x = 63,337,393,275,377,792
  5. Step 5: Solve for x
    x = 63,337,393,275,377,792/115,870,086
  6. Step 6: Final answer
    x = 546,624,201.83

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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.