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Finding the Third Proportional to 90,139.22 and 192,345.33

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Solution

The third proportional to 90,139.22 and 192,345.33 is: 410,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,139.22 : 192,345.33 = 192,345.33 : x
  2. Step 2: Convert to fraction form
    90,139.22/192,345.33 = 192,345.33/x
  3. Step 3: Cross multiply
    90,139.22x = 192,345.33 × 192,345.33
  4. Step 4: Simplify right side
    90,139.22x = 36,996,725,251.51
  5. Step 5: Solve for x
    x = 36,996,725,251.51/90,139.22
  6. Step 6: Final answer
    x = 410,439.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.