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Finding the Third Proportional to 85,834.13 and 186,444.75

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Solution

The third proportional to 85,834.13 and 186,444.75 is: 404,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,834.13 : 186,444.75 = 186,444.75 : x
  2. Step 2: Convert to fraction form
    85,834.13/186,444.75 = 186,444.75/x
  3. Step 3: Cross multiply
    85,834.13x = 186,444.75 × 186,444.75
  4. Step 4: Simplify right side
    85,834.13x = 34,761,644,802.56
  5. Step 5: Solve for x
    x = 34,761,644,802.56/85,834.13
  6. Step 6: Final answer
    x = 404,986.30

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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.