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Finding the Third Proportional to 78,158.44 and 159,079.03

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Solution

The third proportional to 78,158.44 and 159,079.03 is: 323,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158.44 : 159,079.03 = 159,079.03 : x
  2. Step 2: Convert to fraction form
    78,158.44/159,079.03 = 159,079.03/x
  3. Step 3: Cross multiply
    78,158.44x = 159,079.03 × 159,079.03
  4. Step 4: Simplify right side
    78,158.44x = 25,306,138,183.44
  5. Step 5: Solve for x
    x = 25,306,138,183.44/78,158.44
  6. Step 6: Final answer
    x = 323,779.99

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.