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Finding the Third Proportional to 41,112.56 and 89,834.06

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Solution

The third proportional to 41,112.56 and 89,834.06 is: 196,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,112.56 : 89,834.06 = 89,834.06 : x
  2. Step 2: Convert to fraction form
    41,112.56/89,834.06 = 89,834.06/x
  3. Step 3: Cross multiply
    41,112.56x = 89,834.06 × 89,834.06
  4. Step 4: Simplify right side
    41,112.56x = 8,070,158,785.25
  5. Step 5: Solve for x
    x = 8,070,158,785.25/41,112.56
  6. Step 6: Final answer
    x = 196,294.23

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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.