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Finding the Third Proportional to 90,649.13 and 192,103.52

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Solution

The third proportional to 90,649.13 and 192,103.52 is: 407,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,649.13 : 192,103.52 = 192,103.52 : x
  2. Step 2: Convert to fraction form
    90,649.13/192,103.52 = 192,103.52/x
  3. Step 3: Cross multiply
    90,649.13x = 192,103.52 × 192,103.52
  4. Step 4: Simplify right side
    90,649.13x = 36,903,763,717.10
  5. Step 5: Solve for x
    x = 36,903,763,717.10/90,649.13
  6. Step 6: Final answer
    x = 407,105.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.