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Finding the Third Proportional to 106,633,268,342 and 222,092,509,610

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Solution

The third proportional to 106,633,268,342 and 222,092,509,610 is: 462,567,485,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,633,268,342 : 222,092,509,610 = 222,092,509,610 : x
  2. Step 2: Convert to fraction form
    106,633,268,342/222,092,509,610 = 222,092,509,610/x
  3. Step 3: Cross multiply
    106,633,268,342x = 222,092,509,610 × 222,092,509,610
  4. Step 4: Simplify right side
    106,633,268,342x = 49,325,082,824,867,944,857,600
  5. Step 5: Solve for x
    x = 49,325,082,824,867,944,857,600/106,633,268,342
  6. Step 6: Final answer
    x = 462,567,485,661.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.