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Finding the Third Proportional to 48,751,278,544 and 98,873,332,088

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Solution

The third proportional to 48,751,278,544 and 98,873,332,088 is: 200,526,757,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751,278,544 : 98,873,332,088 = 98,873,332,088 : x
  2. Step 2: Convert to fraction form
    48,751,278,544/98,873,332,088 = 98,873,332,088/x
  3. Step 3: Cross multiply
    48,751,278,544x = 98,873,332,088 × 98,873,332,088
  4. Step 4: Simplify right side
    48,751,278,544x = 9,775,935,798,183,930,626,048
  5. Step 5: Solve for x
    x = 9,775,935,798,183,930,626,048/48,751,278,544
  6. Step 6: Final answer
    x = 200,526,757,249.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.