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Finding the Third Proportional to 225,013,782 and 338,119,761

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Solution

The third proportional to 225,013,782 and 338,119,761 is: 508,079,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,013,782 : 338,119,761 = 338,119,761 : x
  2. Step 2: Convert to fraction form
    225,013,782/338,119,761 = 338,119,761/x
  3. Step 3: Cross multiply
    225,013,782x = 338,119,761 × 338,119,761
  4. Step 4: Simplify right side
    225,013,782x = 114,324,972,778,697,120
  5. Step 5: Solve for x
    x = 114,324,972,778,697,120/225,013,782
  6. Step 6: Final answer
    x = 508,079,868.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.