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Finding the Third Proportional to 41,509.97 and 90,811.13

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Solution

The third proportional to 41,509.97 and 90,811.13 is: 198,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.97 : 90,811.13 = 90,811.13 : x
  2. Step 2: Convert to fraction form
    41,509.97/90,811.13 = 90,811.13/x
  3. Step 3: Cross multiply
    41,509.97x = 90,811.13 × 90,811.13
  4. Step 4: Simplify right side
    41,509.97x = 8,246,660,423.77
  5. Step 5: Solve for x
    x = 8,246,660,423.77/41,509.97
  6. Step 6: Final answer
    x = 198,666.99

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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.