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Finding the Third Proportional to 111,327,174 and 225,786,132

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Solution

The third proportional to 111,327,174 and 225,786,132 is: 457,923,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327,174 : 225,786,132 = 225,786,132 : x
  2. Step 2: Convert to fraction form
    111,327,174/225,786,132 = 225,786,132/x
  3. Step 3: Cross multiply
    111,327,174x = 225,786,132 × 225,786,132
  4. Step 4: Simplify right side
    111,327,174x = 50,979,377,403,521,424
  5. Step 5: Solve for x
    x = 50,979,377,403,521,424/111,327,174
  6. Step 6: Final answer
    x = 457,923,933.32

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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.