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Finding the Third Proportional to 90,279.56 and 192,223.13

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Solution

The third proportional to 90,279.56 and 192,223.13 is: 409,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,279.56 : 192,223.13 = 192,223.13 : x
  2. Step 2: Convert to fraction form
    90,279.56/192,223.13 = 192,223.13/x
  3. Step 3: Cross multiply
    90,279.56x = 192,223.13 × 192,223.13
  4. Step 4: Simplify right side
    90,279.56x = 36,949,729,784.77
  5. Step 5: Solve for x
    x = 36,949,729,784.77/90,279.56
  6. Step 6: Final answer
    x = 409,281.22

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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.