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Finding the Third Proportional to 106,633,268,460 and 222,092,509,842

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Solution

The third proportional to 106,633,268,460 and 222,092,509,842 is: 462,567,486,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,633,268,460 : 222,092,509,842 = 222,092,509,842 : x
  2. Step 2: Convert to fraction form
    106,633,268,460/222,092,509,842 = 222,092,509,842/x
  3. Step 3: Cross multiply
    106,633,268,460x = 222,092,509,842 × 222,092,509,842
  4. Step 4: Simplify right side
    106,633,268,460x = 49,325,082,927,918,865,186,816
  5. Step 5: Solve for x
    x = 49,325,082,927,918,865,186,816/106,633,268,460
  6. Step 6: Final answer
    x = 462,567,486,116.41

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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.