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Finding the Third Proportional to 99,027.50 and 213,837

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Solution

The third proportional to 99,027.50 and 213,837 is: 461,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,027.50 : 213,837 = 213,837 : x
  2. Step 2: Convert to fraction form
    99,027.50/213,837 = 213,837/x
  3. Step 3: Cross multiply
    99,027.50x = 213,837 × 213,837
  4. Step 4: Simplify right side
    99,027.50x = 45,726,262,569
  5. Step 5: Solve for x
    x = 45,726,262,569/99,027.50
  6. Step 6: Final answer
    x = 461,753.18

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Why These Related Problems?

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