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Finding the Third Proportional to 100,766 and 219,952

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Solution

The third proportional to 100,766 and 219,952 is: 480,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,766 : 219,952 = 219,952 : x
  2. Step 2: Convert to fraction form
    100,766/219,952 = 219,952/x
  3. Step 3: Cross multiply
    100,766x = 219,952 × 219,952
  4. Step 4: Simplify right side
    100,766x = 48,378,882,304
  5. Step 5: Solve for x
    x = 48,378,882,304/100,766
  6. Step 6: Final answer
    x = 480,111.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.