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Finding the Third Proportional to 41,737.22 and 98,425.41

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Solution

The third proportional to 41,737.22 and 98,425.41 is: 232,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,737.22 : 98,425.41 = 98,425.41 : x
  2. Step 2: Convert to fraction form
    41,737.22/98,425.41 = 98,425.41/x
  3. Step 3: Cross multiply
    41,737.22x = 98,425.41 × 98,425.41
  4. Step 4: Simplify right side
    41,737.22x = 9,687,560,595.48
  5. Step 5: Solve for x
    x = 9,687,560,595.48/41,737.22
  6. Step 6: Final answer
    x = 232,108.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.