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Finding the Third Proportional to 41,732.81 and 98,416.69

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Solution

The third proportional to 41,732.81 and 98,416.69 is: 232,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,732.81 : 98,416.69 = 98,416.69 : x
  2. Step 2: Convert to fraction form
    41,732.81/98,416.69 = 98,416.69/x
  3. Step 3: Cross multiply
    41,732.81x = 98,416.69 × 98,416.69
  4. Step 4: Simplify right side
    41,732.81x = 9,685,844,378.47
  5. Step 5: Solve for x
    x = 9,685,844,378.47/41,732.81
  6. Step 6: Final answer
    x = 232,091.82

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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.