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Finding the Third Proportional to 41,640.75 and 90,585.56

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Solution

The third proportional to 41,640.75 and 90,585.56 is: 197,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640.75 : 90,585.56 = 90,585.56 : x
  2. Step 2: Convert to fraction form
    41,640.75/90,585.56 = 90,585.56/x
  3. Step 3: Cross multiply
    41,640.75x = 90,585.56 × 90,585.56
  4. Step 4: Simplify right side
    41,640.75x = 8,205,744,133.44
  5. Step 5: Solve for x
    x = 8,205,744,133.44/41,640.75
  6. Step 6: Final answer
    x = 197,060.43

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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.