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Finding the Third Proportional to 41,773.78 and 90,205.88

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Solution

The third proportional to 41,773.78 and 90,205.88 is: 194,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,773.78 : 90,205.88 = 90,205.88 : x
  2. Step 2: Convert to fraction form
    41,773.78/90,205.88 = 90,205.88/x
  3. Step 3: Cross multiply
    41,773.78x = 90,205.88 × 90,205.88
  4. Step 4: Simplify right side
    41,773.78x = 8,137,099,884.52
  5. Step 5: Solve for x
    x = 8,137,099,884.52/41,773.78
  6. Step 6: Final answer
    x = 194,789.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.