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Finding the Third Proportional to 99,260 and 220,660

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Solution

The third proportional to 99,260 and 220,660 is: 490,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,260 : 220,660 = 220,660 : x
  2. Step 2: Convert to fraction form
    99,260/220,660 = 220,660/x
  3. Step 3: Cross multiply
    99,260x = 220,660 × 220,660
  4. Step 4: Simplify right side
    99,260x = 48,690,835,600
  5. Step 5: Solve for x
    x = 48,690,835,600/99,260
  6. Step 6: Final answer
    x = 490,538.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.