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Finding the Third Proportional to 43,016 and 91,866

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Solution

The third proportional to 43,016 and 91,866 is: 196,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,016 : 91,866 = 91,866 : x
  2. Step 2: Convert to fraction form
    43,016/91,866 = 91,866/x
  3. Step 3: Cross multiply
    43,016x = 91,866 × 91,866
  4. Step 4: Simplify right side
    43,016x = 8,439,361,956
  5. Step 5: Solve for x
    x = 8,439,361,956/43,016
  6. Step 6: Final answer
    x = 196,191.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.