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Finding the Third Proportional to 101,796.75 and 223,668.84

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Solution

The third proportional to 101,796.75 and 223,668.84 is: 491,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,796.75 : 223,668.84 = 223,668.84 : x
  2. Step 2: Convert to fraction form
    101,796.75/223,668.84 = 223,668.84/x
  3. Step 3: Cross multiply
    101,796.75x = 223,668.84 × 223,668.84
  4. Step 4: Simplify right side
    101,796.75x = 50,027,751,664.46
  5. Step 5: Solve for x
    x = 50,027,751,664.46/101,796.75
  6. Step 6: Final answer
    x = 491,447.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.