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Finding the Third Proportional to 41,052.66 and 88,435.97

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Solution

The third proportional to 41,052.66 and 88,435.97 is: 190,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,052.66 : 88,435.97 = 88,435.97 : x
  2. Step 2: Convert to fraction form
    41,052.66/88,435.97 = 88,435.97/x
  3. Step 3: Cross multiply
    41,052.66x = 88,435.97 × 88,435.97
  4. Step 4: Simplify right side
    41,052.66x = 7,820,920,568.75
  5. Step 5: Solve for x
    x = 7,820,920,568.75/41,052.66
  6. Step 6: Final answer
    x = 190,509.49

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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.