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Finding the Third Proportional to 99,890 and 227,493

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Solution

The third proportional to 99,890 and 227,493 is: 518,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,890 : 227,493 = 227,493 : x
  2. Step 2: Convert to fraction form
    99,890/227,493 = 227,493/x
  3. Step 3: Cross multiply
    99,890x = 227,493 × 227,493
  4. Step 4: Simplify right side
    99,890x = 51,753,065,049
  5. Step 5: Solve for x
    x = 51,753,065,049/99,890
  6. Step 6: Final answer
    x = 518,100.56

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.