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Finding the Third Proportional to 205,801,091,934 and 445,792,027,260

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Solution

The third proportional to 205,801,091,934 and 445,792,027,260 is: 965,643,717,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,091,934 : 445,792,027,260 = 445,792,027,260 : x
  2. Step 2: Convert to fraction form
    205,801,091,934/445,792,027,260 = 445,792,027,260/x
  3. Step 3: Cross multiply
    205,801,091,934x = 445,792,027,260 × 445,792,027,260
  4. Step 4: Simplify right side
    205,801,091,934x = 198,730,531,568,580,577,722,368
  5. Step 5: Solve for x
    x = 198,730,531,568,580,577,722,368/205,801,091,934
  6. Step 6: Final answer
    x = 965,643,717,926.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.