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Finding the Third Proportional to 86,491.59 and 187,198.64

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Solution

The third proportional to 86,491.59 and 187,198.64 is: 405,164.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,491.59 : 187,198.64 = 187,198.64 : x
  2. Step 2: Convert to fraction form
    86,491.59/187,198.64 = 187,198.64/x
  3. Step 3: Cross multiply
    86,491.59x = 187,198.64 × 187,198.64
  4. Step 4: Simplify right side
    86,491.59x = 35,043,331,051.85
  5. Step 5: Solve for x
    x = 35,043,331,051.85/86,491.59
  6. Step 6: Final answer
    x = 405,164.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.