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Finding the Third Proportional to 43,144.31 and 94,280.63

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Solution

The third proportional to 43,144.31 and 94,280.63 is: 206,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,144.31 : 94,280.63 = 94,280.63 : x
  2. Step 2: Convert to fraction form
    43,144.31/94,280.63 = 94,280.63/x
  3. Step 3: Cross multiply
    43,144.31x = 94,280.63 × 94,280.63
  4. Step 4: Simplify right side
    43,144.31x = 8,888,836,250.39
  5. Step 5: Solve for x
    x = 8,888,836,250.39/43,144.31
  6. Step 6: Final answer
    x = 206,025.68

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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.