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Finding the Third Proportional to 86,863.50 and 182,839.50

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Solution

The third proportional to 86,863.50 and 182,839.50 is: 384,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,863.50 : 182,839.50 = 182,839.50 : x
  2. Step 2: Convert to fraction form
    86,863.50/182,839.50 = 182,839.50/x
  3. Step 3: Cross multiply
    86,863.50x = 182,839.50 × 182,839.50
  4. Step 4: Simplify right side
    86,863.50x = 33,430,282,760.25
  5. Step 5: Solve for x
    x = 33,430,282,760.25/86,863.50
  6. Step 6: Final answer
    x = 384,859.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.