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Finding the Third Proportional to 103,023.56 and 213,939.56

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Solution

The third proportional to 103,023.56 and 213,939.56 is: 444,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,023.56 : 213,939.56 = 213,939.56 : x
  2. Step 2: Convert to fraction form
    103,023.56/213,939.56 = 213,939.56/x
  3. Step 3: Cross multiply
    103,023.56x = 213,939.56 × 213,939.56
  4. Step 4: Simplify right side
    103,023.56x = 45,770,136,402.69
  5. Step 5: Solve for x
    x = 45,770,136,402.69/103,023.56
  6. Step 6: Final answer
    x = 444,268.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.