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Finding the Third Proportional to 43,846.31 and 68,336.16

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Solution

The third proportional to 43,846.31 and 68,336.16 is: 106,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,846.31 : 68,336.16 = 68,336.16 : x
  2. Step 2: Convert to fraction form
    43,846.31/68,336.16 = 68,336.16/x
  3. Step 3: Cross multiply
    43,846.31x = 68,336.16 × 68,336.16
  4. Step 4: Simplify right side
    43,846.31x = 4,669,830,251.02
  5. Step 5: Solve for x
    x = 4,669,830,251.02/43,846.31
  6. Step 6: Final answer
    x = 106,504.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.