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Finding the Third Proportional to 111,327,178 and 225,786,140

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Solution

The third proportional to 111,327,178 and 225,786,140 is: 457,923,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327,178 : 225,786,140 = 225,786,140 : x
  2. Step 2: Convert to fraction form
    111,327,178/225,786,140 = 225,786,140/x
  3. Step 3: Cross multiply
    111,327,178x = 225,786,140 × 225,786,140
  4. Step 4: Simplify right side
    111,327,178x = 50,979,381,016,099,600
  5. Step 5: Solve for x
    x = 50,979,381,016,099,600/111,327,178
  6. Step 6: Final answer
    x = 457,923,949.32

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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.