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Finding the Third Proportional to 86,239.69 and 185,586.19

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Solution

The third proportional to 86,239.69 and 185,586.19 is: 399,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,239.69 : 185,586.19 = 185,586.19 : x
  2. Step 2: Convert to fraction form
    86,239.69/185,586.19 = 185,586.19/x
  3. Step 3: Cross multiply
    86,239.69x = 185,586.19 × 185,586.19
  4. Step 4: Simplify right side
    86,239.69x = 34,442,232,990.79
  5. Step 5: Solve for x
    x = 34,442,232,990.79/86,239.69
  6. Step 6: Final answer
    x = 399,377.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.