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Finding the Third Proportional to 86,202 and 189,387

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Solution

The third proportional to 86,202 and 189,387 is: 416,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202 : 189,387 = 189,387 : x
  2. Step 2: Convert to fraction form
    86,202/189,387 = 189,387/x
  3. Step 3: Cross multiply
    86,202x = 189,387 × 189,387
  4. Step 4: Simplify right side
    86,202x = 35,867,435,769
  5. Step 5: Solve for x
    x = 35,867,435,769/86,202
  6. Step 6: Final answer
    x = 416,085.89

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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.