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Finding the Third Proportional to 75,478,161 and 164,620,016

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Solution

The third proportional to 75,478,161 and 164,620,016 is: 359,040,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478,161 : 164,620,016 = 164,620,016 : x
  2. Step 2: Convert to fraction form
    75,478,161/164,620,016 = 164,620,016/x
  3. Step 3: Cross multiply
    75,478,161x = 164,620,016 × 164,620,016
  4. Step 4: Simplify right side
    75,478,161x = 27,099,749,667,840,256
  5. Step 5: Solve for x
    x = 27,099,749,667,840,256/75,478,161
  6. Step 6: Final answer
    x = 359,040,937.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.