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Finding the Third Proportional to 83,686 and 183,957

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Solution

The third proportional to 83,686 and 183,957 is: 404,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,686 : 183,957 = 183,957 : x
  2. Step 2: Convert to fraction form
    83,686/183,957 = 183,957/x
  3. Step 3: Cross multiply
    83,686x = 183,957 × 183,957
  4. Step 4: Simplify right side
    83,686x = 33,840,177,849
  5. Step 5: Solve for x
    x = 33,840,177,849/83,686
  6. Step 6: Final answer
    x = 404,370.84

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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.