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Finding the Third Proportional to 40,023.75 and 93,498.38

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Solution

The third proportional to 40,023.75 and 93,498.38 is: 218,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,023.75 : 93,498.38 = 93,498.38 : x
  2. Step 2: Convert to fraction form
    40,023.75/93,498.38 = 93,498.38/x
  3. Step 3: Cross multiply
    40,023.75x = 93,498.38 × 93,498.38
  4. Step 4: Simplify right side
    40,023.75x = 8,741,946,127.64
  5. Step 5: Solve for x
    x = 8,741,946,127.64/40,023.75
  6. Step 6: Final answer
    x = 218,418.97

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.