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Finding the Third Proportional to 99,848 and 218,452

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Solution

The third proportional to 99,848 and 218,452 is: 477,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,848 : 218,452 = 218,452 : x
  2. Step 2: Convert to fraction form
    99,848/218,452 = 218,452/x
  3. Step 3: Cross multiply
    99,848x = 218,452 × 218,452
  4. Step 4: Simplify right side
    99,848x = 47,721,276,304
  5. Step 5: Solve for x
    x = 47,721,276,304/99,848
  6. Step 6: Final answer
    x = 477,939.23

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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.