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Finding the Third Proportional to 87,996 and 192,880.50

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Solution

The third proportional to 87,996 and 192,880.50 is: 422,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996 : 192,880.50 = 192,880.50 : x
  2. Step 2: Convert to fraction form
    87,996/192,880.50 = 192,880.50/x
  3. Step 3: Cross multiply
    87,996x = 192,880.50 × 192,880.50
  4. Step 4: Simplify right side
    87,996x = 37,202,887,280.25
  5. Step 5: Solve for x
    x = 37,202,887,280.25/87,996
  6. Step 6: Final answer
    x = 422,779.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.