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Finding the Third Proportional to 99,524 and 208,266

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Solution

The third proportional to 99,524 and 208,266 is: 435,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,524 : 208,266 = 208,266 : x
  2. Step 2: Convert to fraction form
    99,524/208,266 = 208,266/x
  3. Step 3: Cross multiply
    99,524x = 208,266 × 208,266
  4. Step 4: Simplify right side
    99,524x = 43,374,726,756
  5. Step 5: Solve for x
    x = 43,374,726,756/99,524
  6. Step 6: Final answer
    x = 435,821.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.