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Finding the Third Proportional to 41,539.50 and 91,382.34

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Solution

The third proportional to 41,539.50 and 91,382.34 is: 201,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,539.50 : 91,382.34 = 91,382.34 : x
  2. Step 2: Convert to fraction form
    41,539.50/91,382.34 = 91,382.34/x
  3. Step 3: Cross multiply
    41,539.50x = 91,382.34 × 91,382.34
  4. Step 4: Simplify right side
    41,539.50x = 8,350,732,749.24
  5. Step 5: Solve for x
    x = 8,350,732,749.24/41,539.50
  6. Step 6: Final answer
    x = 201,031.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.