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Finding the Third Proportional to 107,716 and 220,796

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Solution

The third proportional to 107,716 and 220,796 is: 452,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716 : 220,796 = 220,796 : x
  2. Step 2: Convert to fraction form
    107,716/220,796 = 220,796/x
  3. Step 3: Cross multiply
    107,716x = 220,796 × 220,796
  4. Step 4: Simplify right side
    107,716x = 48,750,873,616
  5. Step 5: Solve for x
    x = 48,750,873,616/107,716
  6. Step 6: Final answer
    x = 452,587.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.