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Finding the Third Proportional to 90,990 and 196,884

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Solution

The third proportional to 90,990 and 196,884 is: 426,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,990 : 196,884 = 196,884 : x
  2. Step 2: Convert to fraction form
    90,990/196,884 = 196,884/x
  3. Step 3: Cross multiply
    90,990x = 196,884 × 196,884
  4. Step 4: Simplify right side
    90,990x = 38,763,309,456
  5. Step 5: Solve for x
    x = 38,763,309,456/90,990
  6. Step 6: Final answer
    x = 426,017.25

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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.