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Finding the Third Proportional to 41,432.33 and 90,454.82

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Solution

The third proportional to 41,432.33 and 90,454.82 is: 197,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,432.33 : 90,454.82 = 90,454.82 : x
  2. Step 2: Convert to fraction form
    41,432.33/90,454.82 = 90,454.82/x
  3. Step 3: Cross multiply
    41,432.33x = 90,454.82 × 90,454.82
  4. Step 4: Simplify right side
    41,432.33x = 8,182,074,804.85
  5. Step 5: Solve for x
    x = 8,182,074,804.85/41,432.33
  6. Step 6: Final answer
    x = 197,480.44

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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.