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Finding the Third Proportional to 205,801,092,468.75 and 445,792,028,329.50

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Solution

The third proportional to 205,801,092,468.75 and 445,792,028,329.50 is: 965,643,720,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,092,468.75 : 445,792,028,329.50 = 445,792,028,329.50 : x
  2. Step 2: Convert to fraction form
    205,801,092,468.75/445,792,028,329.50 = 445,792,028,329.50/x
  3. Step 3: Cross multiply
    205,801,092,468.75x = 445,792,028,329.50 × 445,792,028,329.50
  4. Step 4: Simplify right side
    205,801,092,468.75x = 198,730,532,522,129,721,655,296
  5. Step 5: Solve for x
    x = 198,730,532,522,129,721,655,296/205,801,092,468.75
  6. Step 6: Final answer
    x = 965,643,720,051.22

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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.