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Finding the Third Proportional to 38,859.75 and 85,116.38

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Solution

The third proportional to 38,859.75 and 85,116.38 is: 186,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859.75 : 85,116.38 = 85,116.38 : x
  2. Step 2: Convert to fraction form
    38,859.75/85,116.38 = 85,116.38/x
  3. Step 3: Cross multiply
    38,859.75x = 85,116.38 × 85,116.38
  4. Step 4: Simplify right side
    38,859.75x = 7,244,797,293.14
  5. Step 5: Solve for x
    x = 7,244,797,293.14/38,859.75
  6. Step 6: Final answer
    x = 186,434.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.