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Finding the Third Proportional to 90,769.50 and 209,790

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Solution

The third proportional to 90,769.50 and 209,790 is: 484,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769.50 : 209,790 = 209,790 : x
  2. Step 2: Convert to fraction form
    90,769.50/209,790 = 209,790/x
  3. Step 3: Cross multiply
    90,769.50x = 209,790 × 209,790
  4. Step 4: Simplify right side
    90,769.50x = 44,011,844,100
  5. Step 5: Solve for x
    x = 44,011,844,100/90,769.50
  6. Step 6: Final answer
    x = 484,874.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.