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Finding the Third Proportional to 206,982,704 and 420,047,664

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Solution

The third proportional to 206,982,704 and 420,047,664 is: 852,438,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,982,704 : 420,047,664 = 420,047,664 : x
  2. Step 2: Convert to fraction form
    206,982,704/420,047,664 = 420,047,664/x
  3. Step 3: Cross multiply
    206,982,704x = 420,047,664 × 420,047,664
  4. Step 4: Simplify right side
    206,982,704x = 176,440,040,031,856,896
  5. Step 5: Solve for x
    x = 176,440,040,031,856,896/206,982,704
  6. Step 6: Final answer
    x = 852,438,569.13

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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.