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Finding the Third Proportional to 205,801,092,518 and 445,792,028,644

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Solution

The third proportional to 205,801,092,518 and 445,792,028,644 is: 965,643,721,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,092,518 : 445,792,028,644 = 445,792,028,644 : x
  2. Step 2: Convert to fraction form
    205,801,092,518/445,792,028,644 = 445,792,028,644/x
  3. Step 3: Cross multiply
    205,801,092,518x = 445,792,028,644 × 445,792,028,644
  4. Step 4: Simplify right side
    205,801,092,518x = 198,730,532,802,532,902,699,008
  5. Step 5: Solve for x
    x = 198,730,532,802,532,902,699,008/205,801,092,518
  6. Step 6: Final answer
    x = 965,643,721,182.63

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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.