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Finding the Third Proportional to 48,613.29 and 103,969.83

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Solution

The third proportional to 48,613.29 and 103,969.83 is: 222,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,613.29 : 103,969.83 = 103,969.83 : x
  2. Step 2: Convert to fraction form
    48,613.29/103,969.83 = 103,969.83/x
  3. Step 3: Cross multiply
    48,613.29x = 103,969.83 × 103,969.83
  4. Step 4: Simplify right side
    48,613.29x = 10,809,725,160.34
  5. Step 5: Solve for x
    x = 10,809,725,160.34/48,613.29
  6. Step 6: Final answer
    x = 222,361.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.