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Finding the Third Proportional to 106,633,268,469 and 222,092,509,860

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Solution

The third proportional to 106,633,268,469 and 222,092,509,860 is: 462,567,486,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,633,268,469 : 222,092,509,860 = 222,092,509,860 : x
  2. Step 2: Convert to fraction form
    106,633,268,469/222,092,509,860 = 222,092,509,860/x
  3. Step 3: Cross multiply
    106,633,268,469x = 222,092,509,860 × 222,092,509,860
  4. Step 4: Simplify right side
    106,633,268,469x = 49,325,082,935,914,198,466,560
  5. Step 5: Solve for x
    x = 49,325,082,935,914,198,466,560/106,633,268,469
  6. Step 6: Final answer
    x = 462,567,486,152.35

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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.