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Finding the Third Proportional to 106,687.13 and 228,556.69

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Solution

The third proportional to 106,687.13 and 228,556.69 is: 489,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.13 : 228,556.69 = 228,556.69 : x
  2. Step 2: Convert to fraction form
    106,687.13/228,556.69 = 228,556.69/x
  3. Step 3: Cross multiply
    106,687.13x = 228,556.69 × 228,556.69
  4. Step 4: Simplify right side
    106,687.13x = 52,238,159,400.97
  5. Step 5: Solve for x
    x = 52,238,159,400.97/106,687.13
  6. Step 6: Final answer
    x = 489,638.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.