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Finding the Third Proportional to 99,013.13 and 212,952.75

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Solution

The third proportional to 99,013.13 and 212,952.75 is: 458,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,013.13 : 212,952.75 = 212,952.75 : x
  2. Step 2: Convert to fraction form
    99,013.13/212,952.75 = 212,952.75/x
  3. Step 3: Cross multiply
    99,013.13x = 212,952.75 × 212,952.75
  4. Step 4: Simplify right side
    99,013.13x = 45,348,873,732.56
  5. Step 5: Solve for x
    x = 45,348,873,732.56/99,013.13
  6. Step 6: Final answer
    x = 458,008.71

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Why These Related Problems?

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