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Finding the Third Proportional to 85,832.44 and 186,441.47

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Solution

The third proportional to 85,832.44 and 186,441.47 is: 404,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,832.44 : 186,441.47 = 186,441.47 : x
  2. Step 2: Convert to fraction form
    85,832.44/186,441.47 = 186,441.47/x
  3. Step 3: Cross multiply
    85,832.44x = 186,441.47 × 186,441.47
  4. Step 4: Simplify right side
    85,832.44x = 34,760,421,269.66
  5. Step 5: Solve for x
    x = 34,760,421,269.66/85,832.44
  6. Step 6: Final answer
    x = 404,980.01

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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.