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Finding the Third Proportional to 43,944 and 103,690.50

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Solution

The third proportional to 43,944 and 103,690.50 is: 244,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,944 : 103,690.50 = 103,690.50 : x
  2. Step 2: Convert to fraction form
    43,944/103,690.50 = 103,690.50/x
  3. Step 3: Cross multiply
    43,944x = 103,690.50 × 103,690.50
  4. Step 4: Simplify right side
    43,944x = 10,751,719,790.25
  5. Step 5: Solve for x
    x = 10,751,719,790.25/43,944
  6. Step 6: Final answer
    x = 244,668.66

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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.