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Finding the Third Proportional to 41,568.19 and 89,371.69

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Solution

The third proportional to 41,568.19 and 89,371.69 is: 192,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,568.19 : 89,371.69 = 89,371.69 : x
  2. Step 2: Convert to fraction form
    41,568.19/89,371.69 = 89,371.69/x
  3. Step 3: Cross multiply
    41,568.19x = 89,371.69 × 89,371.69
  4. Step 4: Simplify right side
    41,568.19x = 7,987,298,526.60
  5. Step 5: Solve for x
    x = 7,987,298,526.60/41,568.19
  6. Step 6: Final answer
    x = 192,149.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.