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Finding the Third Proportional to 86,991.75 and 185,377.50

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Solution

The third proportional to 86,991.75 and 185,377.50 is: 395,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,991.75 : 185,377.50 = 185,377.50 : x
  2. Step 2: Convert to fraction form
    86,991.75/185,377.50 = 185,377.50/x
  3. Step 3: Cross multiply
    86,991.75x = 185,377.50 × 185,377.50
  4. Step 4: Simplify right side
    86,991.75x = 34,364,817,506.25
  5. Step 5: Solve for x
    x = 34,364,817,506.25/86,991.75
  6. Step 6: Final answer
    x = 395,035.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.