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Finding the Third Proportional to 94,424.91 and 193,212.84

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Solution

The third proportional to 94,424.91 and 193,212.84 is: 395,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,424.91 : 193,212.84 = 193,212.84 : x
  2. Step 2: Convert to fraction form
    94,424.91/193,212.84 = 193,212.84/x
  3. Step 3: Cross multiply
    94,424.91x = 193,212.84 × 193,212.84
  4. Step 4: Simplify right side
    94,424.91x = 37,331,202,989.96
  5. Step 5: Solve for x
    x = 37,331,202,989.96/94,424.91
  6. Step 6: Final answer
    x = 395,353.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.