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Finding the Third Proportional to 48,300.75 and 103,743.56

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Solution

The third proportional to 48,300.75 and 103,743.56 is: 222,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,300.75 : 103,743.56 = 103,743.56 : x
  2. Step 2: Convert to fraction form
    48,300.75/103,743.56 = 103,743.56/x
  3. Step 3: Cross multiply
    48,300.75x = 103,743.56 × 103,743.56
  4. Step 4: Simplify right side
    48,300.75x = 10,762,726,760.19
  5. Step 5: Solve for x
    x = 10,762,726,760.19/48,300.75
  6. Step 6: Final answer
    x = 222,827.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.