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Finding the Third Proportional to 106,866 and 228,027

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Solution

The third proportional to 106,866 and 228,027 is: 486,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,866 : 228,027 = 228,027 : x
  2. Step 2: Convert to fraction form
    106,866/228,027 = 228,027/x
  3. Step 3: Cross multiply
    106,866x = 228,027 × 228,027
  4. Step 4: Simplify right side
    106,866x = 51,996,312,729
  5. Step 5: Solve for x
    x = 51,996,312,729/106,866
  6. Step 6: Final answer
    x = 486,556.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.