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Finding the Third Proportional to 86,182 and 189,371

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Solution

The third proportional to 86,182 and 189,371 is: 416,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182 : 189,371 = 189,371 : x
  2. Step 2: Convert to fraction form
    86,182/189,371 = 189,371/x
  3. Step 3: Cross multiply
    86,182x = 189,371 × 189,371
  4. Step 4: Simplify right side
    86,182x = 35,861,375,641
  5. Step 5: Solve for x
    x = 35,861,375,641/86,182
  6. Step 6: Final answer
    x = 416,112.13

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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.