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Finding the Third Proportional to 41,563.13 and 89,033.63

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Solution

The third proportional to 41,563.13 and 89,033.63 is: 190,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.13 : 89,033.63 = 89,033.63 : x
  2. Step 2: Convert to fraction form
    41,563.13/89,033.63 = 89,033.63/x
  3. Step 3: Cross multiply
    41,563.13x = 89,033.63 × 89,033.63
  4. Step 4: Simplify right side
    41,563.13x = 7,926,986,380.64
  5. Step 5: Solve for x
    x = 7,926,986,380.64/41,563.13
  6. Step 6: Final answer
    x = 190,721.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.