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Finding the Third Proportional to 99,932 and 212,811

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Solution

The third proportional to 99,932 and 212,811 is: 453,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,932 : 212,811 = 212,811 : x
  2. Step 2: Convert to fraction form
    99,932/212,811 = 212,811/x
  3. Step 3: Cross multiply
    99,932x = 212,811 × 212,811
  4. Step 4: Simplify right side
    99,932x = 45,288,521,721
  5. Step 5: Solve for x
    x = 45,288,521,721/99,932
  6. Step 6: Final answer
    x = 453,193.39

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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.