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Finding the Third Proportional to 43,969 and 103,691.50

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Solution

The third proportional to 43,969 and 103,691.50 is: 244,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,969 : 103,691.50 = 103,691.50 : x
  2. Step 2: Convert to fraction form
    43,969/103,691.50 = 103,691.50/x
  3. Step 3: Cross multiply
    43,969x = 103,691.50 × 103,691.50
  4. Step 4: Simplify right side
    43,969x = 10,751,927,172.25
  5. Step 5: Solve for x
    x = 10,751,927,172.25/43,969
  6. Step 6: Final answer
    x = 244,534.27

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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.