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Finding the Third Proportional to 90,147.38 and 192,801.38

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Solution

The third proportional to 90,147.38 and 192,801.38 is: 412,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,147.38 : 192,801.38 = 192,801.38 : x
  2. Step 2: Convert to fraction form
    90,147.38/192,801.38 = 192,801.38/x
  3. Step 3: Cross multiply
    90,147.38x = 192,801.38 × 192,801.38
  4. Step 4: Simplify right side
    90,147.38x = 37,172,370,201.89
  5. Step 5: Solve for x
    x = 37,172,370,201.89/90,147.38
  6. Step 6: Final answer
    x = 412,351.11

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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.