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Finding the Third Proportional to 86,193 and 182,819

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Solution

The third proportional to 86,193 and 182,819 is: 387,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,193 : 182,819 = 182,819 : x
  2. Step 2: Convert to fraction form
    86,193/182,819 = 182,819/x
  3. Step 3: Cross multiply
    86,193x = 182,819 × 182,819
  4. Step 4: Simplify right side
    86,193x = 33,422,786,761
  5. Step 5: Solve for x
    x = 33,422,786,761/86,193
  6. Step 6: Final answer
    x = 387,766.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.