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Finding the Third Proportional to 106,519.88 and 232,105.88

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Solution

The third proportional to 106,519.88 and 232,105.88 is: 505,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,519.88 : 232,105.88 = 232,105.88 : x
  2. Step 2: Convert to fraction form
    106,519.88/232,105.88 = 232,105.88/x
  3. Step 3: Cross multiply
    106,519.88x = 232,105.88 × 232,105.88
  4. Step 4: Simplify right side
    106,519.88x = 53,873,137,209.52
  5. Step 5: Solve for x
    x = 53,873,137,209.52/106,519.88
  6. Step 6: Final answer
    x = 505,756.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.