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Finding the Third Proportional to 203,181,898.50 and 445,181,163.75

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Solution

The third proportional to 203,181,898.50 and 445,181,163.75 is: 975,413,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181,898.50 : 445,181,163.75 = 445,181,163.75 : x
  2. Step 2: Convert to fraction form
    203,181,898.50/445,181,163.75 = 445,181,163.75/x
  3. Step 3: Cross multiply
    203,181,898.50x = 445,181,163.75 × 445,181,163.75
  4. Step 4: Simplify right side
    203,181,898.50x = 198,186,268,557,804,320
  5. Step 5: Solve for x
    x = 198,186,268,557,804,320/203,181,898.50
  6. Step 6: Final answer
    x = 975,413,016.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.