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Finding the Third Proportional to 41,435.91 and 90,708.56

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Solution

The third proportional to 41,435.91 and 90,708.56 is: 198,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,435.91 : 90,708.56 = 90,708.56 : x
  2. Step 2: Convert to fraction form
    41,435.91/90,708.56 = 90,708.56/x
  3. Step 3: Cross multiply
    41,435.91x = 90,708.56 × 90,708.56
  4. Step 4: Simplify right side
    41,435.91x = 8,228,043,310.82
  5. Step 5: Solve for x
    x = 8,228,043,310.82/41,435.91
  6. Step 6: Final answer
    x = 198,572.79

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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.