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Finding the Third Proportional to 102,714,512 and 209,016,238

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Solution

The third proportional to 102,714,512 and 209,016,238 is: 425,332,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714,512 : 209,016,238 = 209,016,238 : x
  2. Step 2: Convert to fraction form
    102,714,512/209,016,238 = 209,016,238/x
  3. Step 3: Cross multiply
    102,714,512x = 209,016,238 × 209,016,238
  4. Step 4: Simplify right side
    102,714,512x = 43,687,787,747,672,640
  5. Step 5: Solve for x
    x = 43,687,787,747,672,640/102,714,512
  6. Step 6: Final answer
    x = 425,332,184.29

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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.