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Finding the Third Proportional to 89,976,252,903 and 193,493,622,489

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Solution

The third proportional to 89,976,252,903 and 193,493,622,489 is: 416,107,369,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976,252,903 : 193,493,622,489 = 193,493,622,489 : x
  2. Step 2: Convert to fraction form
    89,976,252,903/193,493,622,489 = 193,493,622,489/x
  3. Step 3: Cross multiply
    89,976,252,903x = 193,493,622,489 × 193,493,622,489
  4. Step 4: Simplify right side
    89,976,252,903x = 37,439,781,943,915,646,550,016
  5. Step 5: Solve for x
    x = 37,439,781,943,915,646,550,016/89,976,252,903
  6. Step 6: Final answer
    x = 416,107,369,844.33

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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.