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Finding the Third Proportional to 87,531,084 and 202,618,719

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Solution

The third proportional to 87,531,084 and 202,618,719 is: 469,025,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,531,084 : 202,618,719 = 202,618,719 : x
  2. Step 2: Convert to fraction form
    87,531,084/202,618,719 = 202,618,719/x
  3. Step 3: Cross multiply
    87,531,084x = 202,618,719 × 202,618,719
  4. Step 4: Simplify right side
    87,531,084x = 41,054,345,289,200,960
  5. Step 5: Solve for x
    x = 41,054,345,289,200,960/87,531,084
  6. Step 6: Final answer
    x = 469,025,898.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.