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Finding the Third Proportional to 126,907,809,616.69 and 191,993,922,745.04

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Solution

The third proportional to 126,907,809,616.69 and 191,993,922,745.04 is: 290,460,189,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,907,809,616.69 : 191,993,922,745.04 = 191,993,922,745.04 : x
  2. Step 2: Convert to fraction form
    126,907,809,616.69/191,993,922,745.04 = 191,993,922,745.04/x
  3. Step 3: Cross multiply
    126,907,809,616.69x = 191,993,922,745.04 × 191,993,922,745.04
  4. Step 4: Simplify right side
    126,907,809,616.69x = 36,861,666,371,028,392,083,456
  5. Step 5: Solve for x
    x = 36,861,666,371,028,392,083,456/126,907,809,616.69
  6. Step 6: Final answer
    x = 290,460,189,033.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.