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Finding the Third Proportional to 205,801,092,444 and 445,792,028,282

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Solution

The third proportional to 205,801,092,444 and 445,792,028,282 is: 965,643,719,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,092,444 : 445,792,028,282 = 445,792,028,282 : x
  2. Step 2: Convert to fraction form
    205,801,092,444/445,792,028,282 = 445,792,028,282/x
  3. Step 3: Cross multiply
    205,801,092,444x = 445,792,028,282 × 445,792,028,282
  4. Step 4: Simplify right side
    205,801,092,444x = 198,730,532,479,779,498,622,976
  5. Step 5: Solve for x
    x = 198,730,532,479,779,498,622,976/205,801,092,444
  6. Step 6: Final answer
    x = 965,643,719,961.57

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