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Finding the Third Proportional to 41,652 and 90,694.13

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Solution

The third proportional to 41,652 and 90,694.13 is: 197,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,652 : 90,694.13 = 90,694.13 : x
  2. Step 2: Convert to fraction form
    41,652/90,694.13 = 90,694.13/x
  3. Step 3: Cross multiply
    41,652x = 90,694.13 × 90,694.13
  4. Step 4: Simplify right side
    41,652x = 8,225,424,309.52
  5. Step 5: Solve for x
    x = 8,225,424,309.52/41,652
  6. Step 6: Final answer
    x = 197,479.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.