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Finding the Third Proportional to 89,017,845 and 189,793,728

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Solution

The third proportional to 89,017,845 and 189,793,728 is: 404,656,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,845 : 189,793,728 = 189,793,728 : x
  2. Step 2: Convert to fraction form
    89,017,845/189,793,728 = 189,793,728/x
  3. Step 3: Cross multiply
    89,017,845x = 189,793,728 × 189,793,728
  4. Step 4: Simplify right side
    89,017,845x = 36,021,659,188,137,984
  5. Step 5: Solve for x
    x = 36,021,659,188,137,984/89,017,845
  6. Step 6: Final answer
    x = 404,656,607.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.