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Finding the Third Proportional to 90,551.20 and 196,671.96

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Solution

The third proportional to 90,551.20 and 196,671.96 is: 427,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,551.20 : 196,671.96 = 196,671.96 : x
  2. Step 2: Convert to fraction form
    90,551.20/196,671.96 = 196,671.96/x
  3. Step 3: Cross multiply
    90,551.20x = 196,671.96 × 196,671.96
  4. Step 4: Simplify right side
    90,551.20x = 38,679,857,914.25
  5. Step 5: Solve for x
    x = 38,679,857,914.25/90,551.20
  6. Step 6: Final answer
    x = 427,160.09

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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.