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Finding the Third Proportional to 90,149.63 and 192,364.88

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Solution

The third proportional to 90,149.63 and 192,364.88 is: 410,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,149.63 : 192,364.88 = 192,364.88 : x
  2. Step 2: Convert to fraction form
    90,149.63/192,364.88 = 192,364.88/x
  3. Step 3: Cross multiply
    90,149.63x = 192,364.88 × 192,364.88
  4. Step 4: Simplify right side
    90,149.63x = 37,004,245,133.77
  5. Step 5: Solve for x
    x = 37,004,245,133.77/90,149.63
  6. Step 6: Final answer
    x = 410,475.86

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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.