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Finding the Third Proportional to 86,011 and 188,977

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Solution

The third proportional to 86,011 and 188,977 is: 415,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011 : 188,977 = 188,977 : x
  2. Step 2: Convert to fraction form
    86,011/188,977 = 188,977/x
  3. Step 3: Cross multiply
    86,011x = 188,977 × 188,977
  4. Step 4: Simplify right side
    86,011x = 35,712,306,529
  5. Step 5: Solve for x
    x = 35,712,306,529/86,011
  6. Step 6: Final answer
    x = 415,206.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.