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Finding the Third Proportional to 76,481.44 and 164,034.56

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Solution

The third proportional to 76,481.44 and 164,034.56 is: 351,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481.44 : 164,034.56 = 164,034.56 : x
  2. Step 2: Convert to fraction form
    76,481.44/164,034.56 = 164,034.56/x
  3. Step 3: Cross multiply
    76,481.44x = 164,034.56 × 164,034.56
  4. Step 4: Simplify right side
    76,481.44x = 26,907,337,694.57
  5. Step 5: Solve for x
    x = 26,907,337,694.57/76,481.44
  6. Step 6: Final answer
    x = 351,815.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.