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Finding the Third Proportional to 100,080 and 219,843

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Solution

The third proportional to 100,080 and 219,843 is: 482,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,080 : 219,843 = 219,843 : x
  2. Step 2: Convert to fraction form
    100,080/219,843 = 219,843/x
  3. Step 3: Cross multiply
    100,080x = 219,843 × 219,843
  4. Step 4: Simplify right side
    100,080x = 48,330,944,649
  5. Step 5: Solve for x
    x = 48,330,944,649/100,080
  6. Step 6: Final answer
    x = 482,923.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.