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Finding the Third Proportional to 40,194.98 and 85,728.38

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Solution

The third proportional to 40,194.98 and 85,728.38 is: 182,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,194.98 : 85,728.38 = 85,728.38 : x
  2. Step 2: Convert to fraction form
    40,194.98/85,728.38 = 85,728.38/x
  3. Step 3: Cross multiply
    40,194.98x = 85,728.38 × 85,728.38
  4. Step 4: Simplify right side
    40,194.98x = 7,349,354,280.14
  5. Step 5: Solve for x
    x = 7,349,354,280.14/40,194.98
  6. Step 6: Final answer
    x = 182,842.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.