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Finding the Third Proportional to 90,619.50 and 196,809

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Solution

The third proportional to 90,619.50 and 196,809 is: 427,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,619.50 : 196,809 = 196,809 : x
  2. Step 2: Convert to fraction form
    90,619.50/196,809 = 196,809/x
  3. Step 3: Cross multiply
    90,619.50x = 196,809 × 196,809
  4. Step 4: Simplify right side
    90,619.50x = 38,733,782,481
  5. Step 5: Solve for x
    x = 38,733,782,481/90,619.50
  6. Step 6: Final answer
    x = 427,433.20

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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.