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Finding the Third Proportional to 43,314.75 and 94,405.50

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Solution

The third proportional to 43,314.75 and 94,405.50 is: 205,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314.75 : 94,405.50 = 94,405.50 : x
  2. Step 2: Convert to fraction form
    43,314.75/94,405.50 = 94,405.50/x
  3. Step 3: Cross multiply
    43,314.75x = 94,405.50 × 94,405.50
  4. Step 4: Simplify right side
    43,314.75x = 8,912,398,430.25
  5. Step 5: Solve for x
    x = 8,912,398,430.25/43,314.75
  6. Step 6: Final answer
    x = 205,758.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.