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Finding the Third Proportional to 75,395.81 and 156,993.19

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Solution

The third proportional to 75,395.81 and 156,993.19 is: 326,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,395.81 : 156,993.19 = 156,993.19 : x
  2. Step 2: Convert to fraction form
    75,395.81/156,993.19 = 156,993.19/x
  3. Step 3: Cross multiply
    75,395.81x = 156,993.19 × 156,993.19
  4. Step 4: Simplify right side
    75,395.81x = 24,646,860,921.41
  5. Step 5: Solve for x
    x = 24,646,860,921.41/75,395.81
  6. Step 6: Final answer
    x = 326,899.60

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