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Finding the Third Proportional to 241,848,738 and 364,777,494.75

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Solution

The third proportional to 241,848,738 and 364,777,494.75 is: 550,189,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,848,738 : 364,777,494.75 = 364,777,494.75 : x
  2. Step 2: Convert to fraction form
    241,848,738/364,777,494.75 = 364,777,494.75/x
  3. Step 3: Cross multiply
    241,848,738x = 364,777,494.75 × 364,777,494.75
  4. Step 4: Simplify right side
    241,848,738x = 133,062,620,676,086,272
  5. Step 5: Solve for x
    x = 133,062,620,676,086,272/241,848,738
  6. Step 6: Final answer
    x = 550,189,435.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.