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Finding the Third Proportional to 90,640.50 and 195,861

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Solution

The third proportional to 90,640.50 and 195,861 is: 423,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,640.50 : 195,861 = 195,861 : x
  2. Step 2: Convert to fraction form
    90,640.50/195,861 = 195,861/x
  3. Step 3: Cross multiply
    90,640.50x = 195,861 × 195,861
  4. Step 4: Simplify right side
    90,640.50x = 38,361,531,321
  5. Step 5: Solve for x
    x = 38,361,531,321/90,640.50
  6. Step 6: Final answer
    x = 423,227.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.