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Finding the Third Proportional to 90,212 and 195,793

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Solution

The third proportional to 90,212 and 195,793 is: 424,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,212 : 195,793 = 195,793 : x
  2. Step 2: Convert to fraction form
    90,212/195,793 = 195,793/x
  3. Step 3: Cross multiply
    90,212x = 195,793 × 195,793
  4. Step 4: Simplify right side
    90,212x = 38,334,898,849
  5. Step 5: Solve for x
    x = 38,334,898,849/90,212
  6. Step 6: Final answer
    x = 424,942.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.