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Finding the Third Proportional to 67,414.37 and 149,793.16

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Solution

The third proportional to 67,414.37 and 149,793.16 is: 332,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,414.37 : 149,793.16 = 149,793.16 : x
  2. Step 2: Convert to fraction form
    67,414.37/149,793.16 = 149,793.16/x
  3. Step 3: Cross multiply
    67,414.37x = 149,793.16 × 149,793.16
  4. Step 4: Simplify right side
    67,414.37x = 22,437,991,003.88
  5. Step 5: Solve for x
    x = 22,437,991,003.88/67,414.37
  6. Step 6: Final answer
    x = 332,836.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.