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Finding the Third Proportional to 99,484.50 and 204,801

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Solution

The third proportional to 99,484.50 and 204,801 is: 421,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,484.50 : 204,801 = 204,801 : x
  2. Step 2: Convert to fraction form
    99,484.50/204,801 = 204,801/x
  3. Step 3: Cross multiply
    99,484.50x = 204,801 × 204,801
  4. Step 4: Simplify right side
    99,484.50x = 41,943,449,601
  5. Step 5: Solve for x
    x = 41,943,449,601/99,484.50
  6. Step 6: Final answer
    x = 421,607.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.