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Finding the Third Proportional to 205,801,092,414 and 445,792,028,436

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Solution

The third proportional to 205,801,092,414 and 445,792,028,436 is: 965,643,720,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,092,414 : 445,792,028,436 = 445,792,028,436 : x
  2. Step 2: Convert to fraction form
    205,801,092,414/445,792,028,436 = 445,792,028,436/x
  3. Step 3: Cross multiply
    205,801,092,414x = 445,792,028,436 × 445,792,028,436
  4. Step 4: Simplify right side
    205,801,092,414x = 198,730,532,617,083,429,060,608
  5. Step 5: Solve for x
    x = 198,730,532,617,083,429,060,608/205,801,092,414
  6. Step 6: Final answer
    x = 965,643,720,769.50

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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.