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Finding the Third Proportional to 90,169.50 and 192,846.75

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Solution

The third proportional to 90,169.50 and 192,846.75 is: 412,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,169.50 : 192,846.75 = 192,846.75 : x
  2. Step 2: Convert to fraction form
    90,169.50/192,846.75 = 192,846.75/x
  3. Step 3: Cross multiply
    90,169.50x = 192,846.75 × 192,846.75
  4. Step 4: Simplify right side
    90,169.50x = 37,189,868,985.56
  5. Step 5: Solve for x
    x = 37,189,868,985.56/90,169.50
  6. Step 6: Final answer
    x = 412,444.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.