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Finding the Third Proportional to 43,014.38 and 94,290.75

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Solution

The third proportional to 43,014.38 and 94,290.75 is: 206,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,014.38 : 94,290.75 = 94,290.75 : x
  2. Step 2: Convert to fraction form
    43,014.38/94,290.75 = 94,290.75/x
  3. Step 3: Cross multiply
    43,014.38x = 94,290.75 × 94,290.75
  4. Step 4: Simplify right side
    43,014.38x = 8,890,745,535.56
  5. Step 5: Solve for x
    x = 8,890,745,535.56/43,014.38
  6. Step 6: Final answer
    x = 206,692.43

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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.