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Finding the Third Proportional to 227,433,006 and 332,620,188

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Solution

The third proportional to 227,433,006 and 332,620,188 is: 486,456,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,433,006 : 332,620,188 = 332,620,188 : x
  2. Step 2: Convert to fraction form
    227,433,006/332,620,188 = 332,620,188/x
  3. Step 3: Cross multiply
    227,433,006x = 332,620,188 × 332,620,188
  4. Step 4: Simplify right side
    227,433,006x = 110,636,189,465,155,344
  5. Step 5: Solve for x
    x = 110,636,189,465,155,344/227,433,006
  6. Step 6: Final answer
    x = 486,456,171.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.