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Finding the Third Proportional to 54,303,508,656 and 116,906,284,216

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Solution

The third proportional to 54,303,508,656 and 116,906,284,216 is: 251,679,488,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303,508,656 : 116,906,284,216 = 116,906,284,216 : x
  2. Step 2: Convert to fraction form
    54,303,508,656/116,906,284,216 = 116,906,284,216/x
  3. Step 3: Cross multiply
    54,303,508,656x = 116,906,284,216 × 116,906,284,216
  4. Step 4: Simplify right side
    54,303,508,656x = 13,667,079,289,192,170,127,360
  5. Step 5: Solve for x
    x = 13,667,079,289,192,170,127,360/54,303,508,656
  6. Step 6: Final answer
    x = 251,679,488,626.97

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Why These Related Problems?

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