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Finding the Third Proportional to 106,864 and 229,806

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Solution

The third proportional to 106,864 and 229,806 is: 494,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,864 : 229,806 = 229,806 : x
  2. Step 2: Convert to fraction form
    106,864/229,806 = 229,806/x
  3. Step 3: Cross multiply
    106,864x = 229,806 × 229,806
  4. Step 4: Simplify right side
    106,864x = 52,810,797,636
  5. Step 5: Solve for x
    x = 52,810,797,636/106,864
  6. Step 6: Final answer
    x = 494,186.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.