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Finding the Third Proportional to 89,936,862,856 and 199,982,324,632

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Solution

The third proportional to 89,936,862,856 and 199,982,324,632 is: 444,677,842,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,936,862,856 : 199,982,324,632 = 199,982,324,632 : x
  2. Step 2: Convert to fraction form
    89,936,862,856/199,982,324,632 = 199,982,324,632/x
  3. Step 3: Cross multiply
    89,936,862,856x = 199,982,324,632 × 199,982,324,632
  4. Step 4: Simplify right side
    89,936,862,856x = 39,992,930,165,218,634,366,976
  5. Step 5: Solve for x
    x = 39,992,930,165,218,634,366,976/89,936,862,856
  6. Step 6: Final answer
    x = 444,677,842,824.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.