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Finding the Third Proportional to 38,198 and 83,919

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Solution

The third proportional to 38,198 and 83,919 is: 184,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198 : 83,919 = 83,919 : x
  2. Step 2: Convert to fraction form
    38,198/83,919 = 83,919/x
  3. Step 3: Cross multiply
    38,198x = 83,919 × 83,919
  4. Step 4: Simplify right side
    38,198x = 7,042,398,561
  5. Step 5: Solve for x
    x = 7,042,398,561/38,198
  6. Step 6: Final answer
    x = 184,365.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.