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Finding the Third Proportional to 94,542.75 and 203,424.75

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Solution

The third proportional to 94,542.75 and 203,424.75 is: 437,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,542.75 : 203,424.75 = 203,424.75 : x
  2. Step 2: Convert to fraction form
    94,542.75/203,424.75 = 203,424.75/x
  3. Step 3: Cross multiply
    94,542.75x = 203,424.75 × 203,424.75
  4. Step 4: Simplify right side
    94,542.75x = 41,381,628,912.56
  5. Step 5: Solve for x
    x = 41,381,628,912.56/94,542.75
  6. Step 6: Final answer
    x = 437,702.83

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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.