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Finding the Third Proportional to 106,923 and 230,793

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Solution

The third proportional to 106,923 and 230,793 is: 498,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,923 : 230,793 = 230,793 : x
  2. Step 2: Convert to fraction form
    106,923/230,793 = 230,793/x
  3. Step 3: Cross multiply
    106,923x = 230,793 × 230,793
  4. Step 4: Simplify right side
    106,923x = 53,265,408,849
  5. Step 5: Solve for x
    x = 53,265,408,849/106,923
  6. Step 6: Final answer
    x = 498,166.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.