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Finding the Third Proportional to 41,572.62 and 91,192.61

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Solution

The third proportional to 41,572.62 and 91,192.61 is: 200,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572.62 : 91,192.61 = 91,192.61 : x
  2. Step 2: Convert to fraction form
    41,572.62/91,192.61 = 91,192.61/x
  3. Step 3: Cross multiply
    41,572.62x = 91,192.61 × 91,192.61
  4. Step 4: Simplify right side
    41,572.62x = 8,316,091,292.18
  5. Step 5: Solve for x
    x = 8,316,091,292.18/41,572.62
  6. Step 6: Final answer
    x = 200,037.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.