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Finding the Third Proportional to 88,794 and 195,084

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Solution

The third proportional to 88,794 and 195,084 is: 428,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,794 : 195,084 = 195,084 : x
  2. Step 2: Convert to fraction form
    88,794/195,084 = 195,084/x
  3. Step 3: Cross multiply
    88,794x = 195,084 × 195,084
  4. Step 4: Simplify right side
    88,794x = 38,057,767,056
  5. Step 5: Solve for x
    x = 38,057,767,056/88,794
  6. Step 6: Final answer
    x = 428,607.42

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Why These Related Problems?

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