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Finding the Third Proportional to 102,714,514 and 209,016,242

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Solution

The third proportional to 102,714,514 and 209,016,242 is: 425,332,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714,514 : 209,016,242 = 209,016,242 : x
  2. Step 2: Convert to fraction form
    102,714,514/209,016,242 = 209,016,242/x
  3. Step 3: Cross multiply
    102,714,514x = 209,016,242 × 209,016,242
  4. Step 4: Simplify right side
    102,714,514x = 43,687,789,419,802,560
  5. Step 5: Solve for x
    x = 43,687,789,419,802,560/102,714,514
  6. Step 6: Final answer
    x = 425,332,192.29

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.