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Finding the Third Proportional to 99,828 and 218,412

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Solution

The third proportional to 99,828 and 218,412 is: 477,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,828 : 218,412 = 218,412 : x
  2. Step 2: Convert to fraction form
    99,828/218,412 = 218,412/x
  3. Step 3: Cross multiply
    99,828x = 218,412 × 218,412
  4. Step 4: Simplify right side
    99,828x = 47,703,801,744
  5. Step 5: Solve for x
    x = 47,703,801,744/99,828
  6. Step 6: Final answer
    x = 477,859.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.