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Finding the Third Proportional to 86,181 and 186,198

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Solution

The third proportional to 86,181 and 186,198 is: 402,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,181 : 186,198 = 186,198 : x
  2. Step 2: Convert to fraction form
    86,181/186,198 = 186,198/x
  3. Step 3: Cross multiply
    86,181x = 186,198 × 186,198
  4. Step 4: Simplify right side
    86,181x = 34,669,695,204
  5. Step 5: Solve for x
    x = 34,669,695,204/86,181
  6. Step 6: Final answer
    x = 402,289.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.