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Finding the Third Proportional to 192,092.63 and 281,911.50

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Solution

The third proportional to 192,092.63 and 281,911.50 is: 413,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,092.63 : 281,911.50 = 281,911.50 : x
  2. Step 2: Convert to fraction form
    192,092.63/281,911.50 = 281,911.50/x
  3. Step 3: Cross multiply
    192,092.63x = 281,911.50 × 281,911.50
  4. Step 4: Simplify right side
    192,092.63x = 79,474,093,832.25
  5. Step 5: Solve for x
    x = 79,474,093,832.25/192,092.63
  6. Step 6: Final answer
    x = 413,727.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.