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Finding the Third Proportional to 49,416.56 and 107,777.44

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Solution

The third proportional to 49,416.56 and 107,777.44 is: 235,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416.56 : 107,777.44 = 107,777.44 : x
  2. Step 2: Convert to fraction form
    49,416.56/107,777.44 = 107,777.44/x
  3. Step 3: Cross multiply
    49,416.56x = 107,777.44 × 107,777.44
  4. Step 4: Simplify right side
    49,416.56x = 11,615,976,034.07
  5. Step 5: Solve for x
    x = 11,615,976,034.07/49,416.56
  6. Step 6: Final answer
    x = 235,062.41

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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.