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Finding the Third Proportional to 90,466.88 and 192,956.63

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Solution

The third proportional to 90,466.88 and 192,956.63 is: 411,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,466.88 : 192,956.63 = 192,956.63 : x
  2. Step 2: Convert to fraction form
    90,466.88/192,956.63 = 192,956.63/x
  3. Step 3: Cross multiply
    90,466.88x = 192,956.63 × 192,956.63
  4. Step 4: Simplify right side
    90,466.88x = 37,232,259,131.39
  5. Step 5: Solve for x
    x = 37,232,259,131.39/90,466.88
  6. Step 6: Final answer
    x = 411,556.82

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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.