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Finding the Third Proportional to 99,474 and 193,872

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Solution

The third proportional to 99,474 and 193,872 is: 377,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,474 : 193,872 = 193,872 : x
  2. Step 2: Convert to fraction form
    99,474/193,872 = 193,872/x
  3. Step 3: Cross multiply
    99,474x = 193,872 × 193,872
  4. Step 4: Simplify right side
    99,474x = 37,586,352,384
  5. Step 5: Solve for x
    x = 37,586,352,384/99,474
  6. Step 6: Final answer
    x = 377,851.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.