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Finding the Third Proportional to 220,145,517.38 and 471,804,200.25

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Solution

The third proportional to 220,145,517.38 and 471,804,200.25 is: 1,011,145,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,145,517.38 : 471,804,200.25 = 471,804,200.25 : x
  2. Step 2: Convert to fraction form
    220,145,517.38/471,804,200.25 = 471,804,200.25/x
  3. Step 3: Cross multiply
    220,145,517.38x = 471,804,200.25 × 471,804,200.25
  4. Step 4: Simplify right side
    220,145,517.38x = 222,599,203,373,542,112
  5. Step 5: Solve for x
    x = 222,599,203,373,542,112/220,145,517.38
  6. Step 6: Final answer
    x = 1,011,145,745.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.