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Finding the Third Proportional to 48,751,278,546 and 98,873,332,092

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Solution

The third proportional to 48,751,278,546 and 98,873,332,092 is: 200,526,757,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,751,278,546 : 98,873,332,092 = 98,873,332,092 : x
  2. Step 2: Convert to fraction form
    48,751,278,546/98,873,332,092 = 98,873,332,092/x
  3. Step 3: Cross multiply
    48,751,278,546x = 98,873,332,092 × 98,873,332,092
  4. Step 4: Simplify right side
    48,751,278,546x = 9,775,935,798,974,917,640,192
  5. Step 5: Solve for x
    x = 9,775,935,798,974,917,640,192/48,751,278,546
  6. Step 6: Final answer
    x = 200,526,757,257.26

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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.