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Finding the Third Proportional to 88,722 and 194,916

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Solution

The third proportional to 88,722 and 194,916 is: 428,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,722 : 194,916 = 194,916 : x
  2. Step 2: Convert to fraction form
    88,722/194,916 = 194,916/x
  3. Step 3: Cross multiply
    88,722x = 194,916 × 194,916
  4. Step 4: Simplify right side
    88,722x = 37,992,247,056
  5. Step 5: Solve for x
    x = 37,992,247,056/88,722
  6. Step 6: Final answer
    x = 428,216.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.