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Finding the Third Proportional to 95,962,177,850 and 211,116,455,626

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Solution

The third proportional to 95,962,177,850 and 211,116,455,626 is: 464,455,463,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,962,177,850 : 211,116,455,626 = 211,116,455,626 : x
  2. Step 2: Convert to fraction form
    95,962,177,850/211,116,455,626 = 211,116,455,626/x
  3. Step 3: Cross multiply
    95,962,177,850x = 211,116,455,626 × 211,116,455,626
  4. Step 4: Simplify right side
    95,962,177,850x = 44,570,157,836,084,826,865,664
  5. Step 5: Solve for x
    x = 44,570,157,836,084,826,865,664/95,962,177,850
  6. Step 6: Final answer
    x = 464,455,463,961.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.