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Finding the Third Proportional to 40,023 and 93,496.50

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Solution

The third proportional to 40,023 and 93,496.50 is: 218,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,023 : 93,496.50 = 93,496.50 : x
  2. Step 2: Convert to fraction form
    40,023/93,496.50 = 93,496.50/x
  3. Step 3: Cross multiply
    40,023x = 93,496.50 × 93,496.50
  4. Step 4: Simplify right side
    40,023x = 8,741,595,512.25
  5. Step 5: Solve for x
    x = 8,741,595,512.25/40,023
  6. Step 6: Final answer
    x = 218,414.30

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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.