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Finding the Third Proportional to 43,989 and 103,736.50

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Solution

The third proportional to 43,989 and 103,736.50 is: 244,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,989 : 103,736.50 = 103,736.50 : x
  2. Step 2: Convert to fraction form
    43,989/103,736.50 = 103,736.50/x
  3. Step 3: Cross multiply
    43,989x = 103,736.50 × 103,736.50
  4. Step 4: Simplify right side
    43,989x = 10,761,261,432.25
  5. Step 5: Solve for x
    x = 10,761,261,432.25/43,989
  6. Step 6: Final answer
    x = 244,635.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.