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Finding the Third Proportional to 86,028.75 and 188,581.50

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Solution

The third proportional to 86,028.75 and 188,581.50 is: 413,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,028.75 : 188,581.50 = 188,581.50 : x
  2. Step 2: Convert to fraction form
    86,028.75/188,581.50 = 188,581.50/x
  3. Step 3: Cross multiply
    86,028.75x = 188,581.50 × 188,581.50
  4. Step 4: Simplify right side
    86,028.75x = 35,562,982,142.25
  5. Step 5: Solve for x
    x = 35,562,982,142.25/86,028.75
  6. Step 6: Final answer
    x = 413,384.85

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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.