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Finding the Third Proportional to 85,843.13 and 186,463.27

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Solution

The third proportional to 85,843.13 and 186,463.27 is: 405,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,843.13 : 186,463.27 = 186,463.27 : x
  2. Step 2: Convert to fraction form
    85,843.13/186,463.27 = 186,463.27/x
  3. Step 3: Cross multiply
    85,843.13x = 186,463.27 × 186,463.27
  4. Step 4: Simplify right side
    85,843.13x = 34,768,549,427.54
  5. Step 5: Solve for x
    x = 34,768,549,427.54/85,843.13
  6. Step 6: Final answer
    x = 405,024.27

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