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Finding the Third Proportional to 102,472,217 and 223,138,902

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Solution

The third proportional to 102,472,217 and 223,138,902 is: 485,897,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,217 : 223,138,902 = 223,138,902 : x
  2. Step 2: Convert to fraction form
    102,472,217/223,138,902 = 223,138,902/x
  3. Step 3: Cross multiply
    102,472,217x = 223,138,902 × 223,138,902
  4. Step 4: Simplify right side
    102,472,217x = 49,790,969,585,765,600
  5. Step 5: Solve for x
    x = 49,790,969,585,765,600/102,472,217
  6. Step 6: Final answer
    x = 485,897,261.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.