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Finding the Third Proportional to 41,928.89 and 90,957.94

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Solution

The third proportional to 41,928.89 and 90,957.94 is: 197,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,928.89 : 90,957.94 = 90,957.94 : x
  2. Step 2: Convert to fraction form
    41,928.89/90,957.94 = 90,957.94/x
  3. Step 3: Cross multiply
    41,928.89x = 90,957.94 × 90,957.94
  4. Step 4: Simplify right side
    41,928.89x = 8,273,346,394.25
  5. Step 5: Solve for x
    x = 8,273,346,394.25/41,928.89
  6. Step 6: Final answer
    x = 197,318.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.