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Finding the Third Proportional to 86,511.80 and 185,963.34

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Solution

The third proportional to 86,511.80 and 185,963.34 is: 399,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,511.80 : 185,963.34 = 185,963.34 : x
  2. Step 2: Convert to fraction form
    86,511.80/185,963.34 = 185,963.34/x
  3. Step 3: Cross multiply
    86,511.80x = 185,963.34 × 185,963.34
  4. Step 4: Simplify right side
    86,511.80x = 34,582,365,218.68
  5. Step 5: Solve for x
    x = 34,582,365,218.68/86,511.80
  6. Step 6: Final answer
    x = 399,741.61

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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.