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Finding the Third Proportional to 90,822.44 and 196,176.46

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Solution

The third proportional to 90,822.44 and 196,176.46 is: 423,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,822.44 : 196,176.46 = 196,176.46 : x
  2. Step 2: Convert to fraction form
    90,822.44/196,176.46 = 196,176.46/x
  3. Step 3: Cross multiply
    90,822.44x = 196,176.46 × 196,176.46
  4. Step 4: Simplify right side
    90,822.44x = 38,485,204,592.27
  5. Step 5: Solve for x
    x = 38,485,204,592.27/90,822.44
  6. Step 6: Final answer
    x = 423,741.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.