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Finding the Third Proportional to 43,327.50 and 93,115.50

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Solution

The third proportional to 43,327.50 and 93,115.50 is: 200,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,327.50 : 93,115.50 = 93,115.50 : x
  2. Step 2: Convert to fraction form
    43,327.50/93,115.50 = 93,115.50/x
  3. Step 3: Cross multiply
    43,327.50x = 93,115.50 × 93,115.50
  4. Step 4: Simplify right side
    43,327.50x = 8,670,496,340.25
  5. Step 5: Solve for x
    x = 8,670,496,340.25/43,327.50
  6. Step 6: Final answer
    x = 200,115.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.