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Finding the Third Proportional to 86,586.75 and 189,211.50

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Solution

The third proportional to 86,586.75 and 189,211.50 is: 413,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,586.75 : 189,211.50 = 189,211.50 : x
  2. Step 2: Convert to fraction form
    86,586.75/189,211.50 = 189,211.50/x
  3. Step 3: Cross multiply
    86,586.75x = 189,211.50 × 189,211.50
  4. Step 4: Simplify right side
    86,586.75x = 35,800,991,732.25
  5. Step 5: Solve for x
    x = 35,800,991,732.25/86,586.75
  6. Step 6: Final answer
    x = 413,469.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.