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Finding the Third Proportional to 48,486,944.25 and 107,735,629.50

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Solution

The third proportional to 48,486,944.25 and 107,735,629.50 is: 239,383,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486,944.25 : 107,735,629.50 = 107,735,629.50 : x
  2. Step 2: Convert to fraction form
    48,486,944.25/107,735,629.50 = 107,735,629.50/x
  3. Step 3: Cross multiply
    48,486,944.25x = 107,735,629.50 × 107,735,629.50
  4. Step 4: Simplify right side
    48,486,944.25x = 11,606,965,863,761,270
  5. Step 5: Solve for x
    x = 11,606,965,863,761,270/48,486,944.25
  6. Step 6: Final answer
    x = 239,383,323.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.