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Finding the Third Proportional to 76,751,730 and 166,951,116

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Solution

The third proportional to 76,751,730 and 166,951,116 is: 363,153,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751,730 : 166,951,116 = 166,951,116 : x
  2. Step 2: Convert to fraction form
    76,751,730/166,951,116 = 166,951,116/x
  3. Step 3: Cross multiply
    76,751,730x = 166,951,116 × 166,951,116
  4. Step 4: Simplify right side
    76,751,730x = 27,872,675,133,645,456
  5. Step 5: Solve for x
    x = 27,872,675,133,645,456/76,751,730
  6. Step 6: Final answer
    x = 363,153,705.25

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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.