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Finding the Third Proportional to 89,990 and 196,930

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Solution

The third proportional to 89,990 and 196,930 is: 430,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,990 : 196,930 = 196,930 : x
  2. Step 2: Convert to fraction form
    89,990/196,930 = 196,930/x
  3. Step 3: Cross multiply
    89,990x = 196,930 × 196,930
  4. Step 4: Simplify right side
    89,990x = 38,781,424,900
  5. Step 5: Solve for x
    x = 38,781,424,900/89,990
  6. Step 6: Final answer
    x = 430,952.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.