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Finding the Third Proportional to 89,017,831 and 189,793,702

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Solution

The third proportional to 89,017,831 and 189,793,702 is: 404,656,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,831 : 189,793,702 = 189,793,702 : x
  2. Step 2: Convert to fraction form
    89,017,831/189,793,702 = 189,793,702/x
  3. Step 3: Cross multiply
    89,017,831x = 189,793,702 × 189,793,702
  4. Step 4: Simplify right side
    89,017,831x = 36,021,649,318,864,804
  5. Step 5: Solve for x
    x = 36,021,649,318,864,804/89,017,831
  6. Step 6: Final answer
    x = 404,656,560.54

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Why These Related Problems?

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