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Finding the Third Proportional to 43,085.25 and 94,189.50

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Solution

The third proportional to 43,085.25 and 94,189.50 is: 205,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,085.25 : 94,189.50 = 94,189.50 : x
  2. Step 2: Convert to fraction form
    43,085.25/94,189.50 = 94,189.50/x
  3. Step 3: Cross multiply
    43,085.25x = 94,189.50 × 94,189.50
  4. Step 4: Simplify right side
    43,085.25x = 8,871,661,910.25
  5. Step 5: Solve for x
    x = 8,871,661,910.25/43,085.25
  6. Step 6: Final answer
    x = 205,909.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.