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Finding the Third Proportional to 77,990.25 and 159,676.31

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Solution

The third proportional to 77,990.25 and 159,676.31 is: 326,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,990.25 : 159,676.31 = 159,676.31 : x
  2. Step 2: Convert to fraction form
    77,990.25/159,676.31 = 159,676.31/x
  3. Step 3: Cross multiply
    77,990.25x = 159,676.31 × 159,676.31
  4. Step 4: Simplify right side
    77,990.25x = 25,496,524,773.60
  5. Step 5: Solve for x
    x = 25,496,524,773.60/77,990.25
  6. Step 6: Final answer
    x = 326,919.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.