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Finding the Third Proportional to 76,751,760 and 166,951,176

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Solution

The third proportional to 76,751,760 and 166,951,176 is: 363,153,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751,760 : 166,951,176 = 166,951,176 : x
  2. Step 2: Convert to fraction form
    76,751,760/166,951,176 = 166,951,176/x
  3. Step 3: Cross multiply
    76,751,760x = 166,951,176 × 166,951,176
  4. Step 4: Simplify right side
    76,751,760x = 27,872,695,167,782,976
  5. Step 5: Solve for x
    x = 27,872,695,167,782,976/76,751,760
  6. Step 6: Final answer
    x = 363,153,824.33

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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.