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Finding the Third Proportional to 99,894.75 and 212,502.75

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Solution

The third proportional to 99,894.75 and 212,502.75 is: 452,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894.75 : 212,502.75 = 212,502.75 : x
  2. Step 2: Convert to fraction form
    99,894.75/212,502.75 = 212,502.75/x
  3. Step 3: Cross multiply
    99,894.75x = 212,502.75 × 212,502.75
  4. Step 4: Simplify right side
    99,894.75x = 45,157,418,757.56
  5. Step 5: Solve for x
    x = 45,157,418,757.56/99,894.75
  6. Step 6: Final answer
    x = 452,049.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.