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Finding the Third Proportional to 92,325.50 and 204,027

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Solution

The third proportional to 92,325.50 and 204,027 is: 450,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,325.50 : 204,027 = 204,027 : x
  2. Step 2: Convert to fraction form
    92,325.50/204,027 = 204,027/x
  3. Step 3: Cross multiply
    92,325.50x = 204,027 × 204,027
  4. Step 4: Simplify right side
    92,325.50x = 41,627,016,729
  5. Step 5: Solve for x
    x = 41,627,016,729/92,325.50
  6. Step 6: Final answer
    x = 450,872.37

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.