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Finding the Third Proportional to 91,992 and 203,637

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Solution

The third proportional to 91,992 and 203,637 is: 450,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,992 : 203,637 = 203,637 : x
  2. Step 2: Convert to fraction form
    91,992/203,637 = 203,637/x
  3. Step 3: Cross multiply
    91,992x = 203,637 × 203,637
  4. Step 4: Simplify right side
    91,992x = 41,468,027,769
  5. Step 5: Solve for x
    x = 41,468,027,769/91,992
  6. Step 6: Final answer
    x = 450,778.63

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.