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Finding the Third Proportional to 159,522,204 and 347,038,008

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Solution

The third proportional to 159,522,204 and 347,038,008 is: 754,975,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,522,204 : 347,038,008 = 347,038,008 : x
  2. Step 2: Convert to fraction form
    159,522,204/347,038,008 = 347,038,008/x
  3. Step 3: Cross multiply
    159,522,204x = 347,038,008 × 347,038,008
  4. Step 4: Simplify right side
    159,522,204x = 120,435,378,996,608,064
  5. Step 5: Solve for x
    x = 120,435,378,996,608,064/159,522,204
  6. Step 6: Final answer
    x = 754,975,645.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.