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Finding the Third Proportional to 76,667,177 and 166,270,054

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Solution

The third proportional to 76,667,177 and 166,270,054 is: 360,594,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,667,177 : 166,270,054 = 166,270,054 : x
  2. Step 2: Convert to fraction form
    76,667,177/166,270,054 = 166,270,054/x
  3. Step 3: Cross multiply
    76,667,177x = 166,270,054 × 166,270,054
  4. Step 4: Simplify right side
    76,667,177x = 27,645,730,857,162,916
  5. Step 5: Solve for x
    x = 27,645,730,857,162,916/76,667,177
  6. Step 6: Final answer
    x = 360,594,089.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.