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Finding the Third Proportional to 111,327,165 and 225,786,114

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Solution

The third proportional to 111,327,165 and 225,786,114 is: 457,923,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327,165 : 225,786,114 = 225,786,114 : x
  2. Step 2: Convert to fraction form
    111,327,165/225,786,114 = 225,786,114/x
  3. Step 3: Cross multiply
    111,327,165x = 225,786,114 × 225,786,114
  4. Step 4: Simplify right side
    111,327,165x = 50,979,369,275,220,992
  5. Step 5: Solve for x
    x = 50,979,369,275,220,992/111,327,165
  6. Step 6: Final answer
    x = 457,923,897.33

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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.