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Finding the Third Proportional to 106,831 and 230,793.50

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Solution

The third proportional to 106,831 and 230,793.50 is: 498,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,831 : 230,793.50 = 230,793.50 : x
  2. Step 2: Convert to fraction form
    106,831/230,793.50 = 230,793.50/x
  3. Step 3: Cross multiply
    106,831x = 230,793.50 × 230,793.50
  4. Step 4: Simplify right side
    106,831x = 53,265,639,642.25
  5. Step 5: Solve for x
    x = 53,265,639,642.25/106,831
  6. Step 6: Final answer
    x = 498,597.22

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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.