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Finding the Third Proportional to 41,401.13 and 89,359.45

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Solution

The third proportional to 41,401.13 and 89,359.45 is: 192,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,401.13 : 89,359.45 = 89,359.45 : x
  2. Step 2: Convert to fraction form
    41,401.13/89,359.45 = 89,359.45/x
  3. Step 3: Cross multiply
    41,401.13x = 89,359.45 × 89,359.45
  4. Step 4: Simplify right side
    41,401.13x = 7,985,111,862.80
  5. Step 5: Solve for x
    x = 7,985,111,862.80/41,401.13
  6. Step 6: Final answer
    x = 192,871.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.