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Finding the Third Proportional to 49,519.13 and 106,930.69

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Solution

The third proportional to 49,519.13 and 106,930.69 is: 230,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,519.13 : 106,930.69 = 106,930.69 : x
  2. Step 2: Convert to fraction form
    49,519.13/106,930.69 = 106,930.69/x
  3. Step 3: Cross multiply
    49,519.13x = 106,930.69 × 106,930.69
  4. Step 4: Simplify right side
    49,519.13x = 11,434,171,929.22
  5. Step 5: Solve for x
    x = 11,434,171,929.22/49,519.13
  6. Step 6: Final answer
    x = 230,904.16

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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.