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Finding the Third Proportional to 102,714,507 and 209,016,229.50

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Solution

The third proportional to 102,714,507 and 209,016,229.50 is: 425,332,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714,507 : 209,016,229.50 = 209,016,229.50 : x
  2. Step 2: Convert to fraction form
    102,714,507/209,016,229.50 = 209,016,229.50/x
  3. Step 3: Cross multiply
    102,714,507x = 209,016,229.50 × 209,016,229.50
  4. Step 4: Simplify right side
    102,714,507x = 43,687,784,194,396,672
  5. Step 5: Solve for x
    x = 43,687,784,194,396,672/102,714,507
  6. Step 6: Final answer
    x = 425,332,170.41

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Why These Related Problems?

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