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Finding the Third Proportional to 100,787 and 219,994

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Solution

The third proportional to 100,787 and 219,994 is: 480,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,787 : 219,994 = 219,994 : x
  2. Step 2: Convert to fraction form
    100,787/219,994 = 219,994/x
  3. Step 3: Cross multiply
    100,787x = 219,994 × 219,994
  4. Step 4: Simplify right side
    100,787x = 48,397,360,036
  5. Step 5: Solve for x
    x = 48,397,360,036/100,787
  6. Step 6: Final answer
    x = 480,194.47

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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.