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Finding the Third Proportional to 205,801,091,936 and 445,792,027,264

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Solution

The third proportional to 205,801,091,936 and 445,792,027,264 is: 965,643,717,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,091,936 : 445,792,027,264 = 445,792,027,264 : x
  2. Step 2: Convert to fraction form
    205,801,091,936/445,792,027,264 = 445,792,027,264/x
  3. Step 3: Cross multiply
    205,801,091,936x = 445,792,027,264 × 445,792,027,264
  4. Step 4: Simplify right side
    205,801,091,936x = 198,730,531,572,146,910,527,488
  5. Step 5: Solve for x
    x = 198,730,531,572,146,910,527,488/205,801,091,936
  6. Step 6: Final answer
    x = 965,643,717,934.93

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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.