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Finding the Third Proportional to 42,165.56 and 90,584.44

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Solution

The third proportional to 42,165.56 and 90,584.44 is: 194,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,165.56 : 90,584.44 = 90,584.44 : x
  2. Step 2: Convert to fraction form
    42,165.56/90,584.44 = 90,584.44/x
  3. Step 3: Cross multiply
    42,165.56x = 90,584.44 × 90,584.44
  4. Step 4: Simplify right side
    42,165.56x = 8,205,540,317.19
  5. Step 5: Solve for x
    x = 8,205,540,317.19/42,165.56
  6. Step 6: Final answer
    x = 194,602.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.