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Finding the Third Proportional to 90,287 and 194,860

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Solution

The third proportional to 90,287 and 194,860 is: 420,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,287 : 194,860 = 194,860 : x
  2. Step 2: Convert to fraction form
    90,287/194,860 = 194,860/x
  3. Step 3: Cross multiply
    90,287x = 194,860 × 194,860
  4. Step 4: Simplify right side
    90,287x = 37,970,419,600
  5. Step 5: Solve for x
    x = 37,970,419,600/90,287
  6. Step 6: Final answer
    x = 420,552.46

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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.