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Finding the Third Proportional to 76,751,775 and 166,951,206

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Solution

The third proportional to 76,751,775 and 166,951,206 is: 363,153,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751,775 : 166,951,206 = 166,951,206 : x
  2. Step 2: Convert to fraction form
    76,751,775/166,951,206 = 166,951,206/x
  3. Step 3: Cross multiply
    76,751,775x = 166,951,206 × 166,951,206
  4. Step 4: Simplify right side
    76,751,775x = 27,872,705,184,854,436
  5. Step 5: Solve for x
    x = 27,872,705,184,854,436/76,751,775
  6. Step 6: Final answer
    x = 363,153,883.87

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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.