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Finding the Third Proportional to 89,883 and 195,615

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Solution

The third proportional to 89,883 and 195,615 is: 425,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,883 : 195,615 = 195,615 : x
  2. Step 2: Convert to fraction form
    89,883/195,615 = 195,615/x
  3. Step 3: Cross multiply
    89,883x = 195,615 × 195,615
  4. Step 4: Simplify right side
    89,883x = 38,265,228,225
  5. Step 5: Solve for x
    x = 38,265,228,225/89,883
  6. Step 6: Final answer
    x = 425,722.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.