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Finding the Third Proportional to 86,474,407 and 188,905,167

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Solution

The third proportional to 86,474,407 and 188,905,167 is: 412,667,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,474,407 : 188,905,167 = 188,905,167 : x
  2. Step 2: Convert to fraction form
    86,474,407/188,905,167 = 188,905,167/x
  3. Step 3: Cross multiply
    86,474,407x = 188,905,167 × 188,905,167
  4. Step 4: Simplify right side
    86,474,407x = 35,685,162,119,297,888
  5. Step 5: Solve for x
    x = 35,685,162,119,297,888/86,474,407
  6. Step 6: Final answer
    x = 412,667,323.86

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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.