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Finding the Third Proportional to 48,296.25 and 105,740.44

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Solution

The third proportional to 48,296.25 and 105,740.44 is: 231,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296.25 : 105,740.44 = 105,740.44 : x
  2. Step 2: Convert to fraction form
    48,296.25/105,740.44 = 105,740.44/x
  3. Step 3: Cross multiply
    48,296.25x = 105,740.44 × 105,740.44
  4. Step 4: Simplify right side
    48,296.25x = 11,181,040,122.69
  5. Step 5: Solve for x
    x = 11,181,040,122.69/48,296.25
  6. Step 6: Final answer
    x = 231,509.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.