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Finding the Third Proportional to 149,703,589 and 327,628,193

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Solution

The third proportional to 149,703,589 and 327,628,193 is: 717,018,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,703,589 : 327,628,193 = 327,628,193 : x
  2. Step 2: Convert to fraction form
    149,703,589/327,628,193 = 327,628,193/x
  3. Step 3: Cross multiply
    149,703,589x = 327,628,193 × 327,628,193
  4. Step 4: Simplify right side
    149,703,589x = 107,340,232,848,445,248
  5. Step 5: Solve for x
    x = 107,340,232,848,445,248/149,703,589
  6. Step 6: Final answer
    x = 717,018,433.33

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Why These Related Problems?

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