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Finding the Third Proportional to 43,178.06 and 91,884.38

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Solution

The third proportional to 43,178.06 and 91,884.38 is: 195,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,178.06 : 91,884.38 = 91,884.38 : x
  2. Step 2: Convert to fraction form
    43,178.06/91,884.38 = 91,884.38/x
  3. Step 3: Cross multiply
    43,178.06x = 91,884.38 × 91,884.38
  4. Step 4: Simplify right side
    43,178.06x = 8,442,738,369.14
  5. Step 5: Solve for x
    x = 8,442,738,369.14/43,178.06
  6. Step 6: Final answer
    x = 195,533.05

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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.