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Finding the Third Proportional to 91,016 and 186,568

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Solution

The third proportional to 91,016 and 186,568 is: 382,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,016 : 186,568 = 186,568 : x
  2. Step 2: Convert to fraction form
    91,016/186,568 = 186,568/x
  3. Step 3: Cross multiply
    91,016x = 186,568 × 186,568
  4. Step 4: Simplify right side
    91,016x = 34,807,618,624
  5. Step 5: Solve for x
    x = 34,807,618,624/91,016
  6. Step 6: Final answer
    x = 382,434.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.