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Finding the Third Proportional to 77,503,734 and 166,135,086

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Solution

The third proportional to 77,503,734 and 166,135,086 is: 356,123,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,503,734 : 166,135,086 = 166,135,086 : x
  2. Step 2: Convert to fraction form
    77,503,734/166,135,086 = 166,135,086/x
  3. Step 3: Cross multiply
    77,503,734x = 166,135,086 × 166,135,086
  4. Step 4: Simplify right side
    77,503,734x = 27,600,866,800,227,396
  5. Step 5: Solve for x
    x = 27,600,866,800,227,396/77,503,734
  6. Step 6: Final answer
    x = 356,123,058.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.