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Finding the Third Proportional to 41,706.56 and 98,403.19

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Solution

The third proportional to 41,706.56 and 98,403.19 is: 232,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.56 : 98,403.19 = 98,403.19 : x
  2. Step 2: Convert to fraction form
    41,706.56/98,403.19 = 98,403.19/x
  3. Step 3: Cross multiply
    41,706.56x = 98,403.19 × 98,403.19
  4. Step 4: Simplify right side
    41,706.56x = 9,683,187,310.16
  5. Step 5: Solve for x
    x = 9,683,187,310.16/41,706.56
  6. Step 6: Final answer
    x = 232,174.19

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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.