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Finding the Third Proportional to 218,260,061 and 329,656,098

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Solution

The third proportional to 218,260,061 and 329,656,098 is: 497,906,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,260,061 : 329,656,098 = 329,656,098 : x
  2. Step 2: Convert to fraction form
    218,260,061/329,656,098 = 329,656,098/x
  3. Step 3: Cross multiply
    218,260,061x = 329,656,098 × 329,656,098
  4. Step 4: Simplify right side
    218,260,061x = 108,673,142,948,585,600
  5. Step 5: Solve for x
    x = 108,673,142,948,585,600/218,260,061
  6. Step 6: Final answer
    x = 497,906,682.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.