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Finding the Third Proportional to 86,500.41 and 185,933.81

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Solution

The third proportional to 86,500.41 and 185,933.81 is: 399,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,500.41 : 185,933.81 = 185,933.81 : x
  2. Step 2: Convert to fraction form
    86,500.41/185,933.81 = 185,933.81/x
  3. Step 3: Cross multiply
    86,500.41x = 185,933.81 × 185,933.81
  4. Step 4: Simplify right side
    86,500.41x = 34,571,382,630.79
  5. Step 5: Solve for x
    x = 34,571,382,630.79/86,500.41
  6. Step 6: Final answer
    x = 399,667.29

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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.