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Finding the Third Proportional to 86,085.50 and 186,469

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Solution

The third proportional to 86,085.50 and 186,469 is: 403,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,085.50 : 186,469 = 186,469 : x
  2. Step 2: Convert to fraction form
    86,085.50/186,469 = 186,469/x
  3. Step 3: Cross multiply
    86,085.50x = 186,469 × 186,469
  4. Step 4: Simplify right side
    86,085.50x = 34,770,687,961
  5. Step 5: Solve for x
    x = 34,770,687,961/86,085.50
  6. Step 6: Final answer
    x = 403,908.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.