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Finding the Third Proportional to 43,198.50 and 89,844.75

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Solution

The third proportional to 43,198.50 and 89,844.75 is: 186,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,198.50 : 89,844.75 = 89,844.75 : x
  2. Step 2: Convert to fraction form
    43,198.50/89,844.75 = 89,844.75/x
  3. Step 3: Cross multiply
    43,198.50x = 89,844.75 × 89,844.75
  4. Step 4: Simplify right side
    43,198.50x = 8,072,079,102.56
  5. Step 5: Solve for x
    x = 8,072,079,102.56/43,198.50
  6. Step 6: Final answer
    x = 186,860.17

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.