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Finding the Third Proportional to 90,952.88 and 194,271.75

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Solution

The third proportional to 90,952.88 and 194,271.75 is: 414,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,952.88 : 194,271.75 = 194,271.75 : x
  2. Step 2: Convert to fraction form
    90,952.88/194,271.75 = 194,271.75/x
  3. Step 3: Cross multiply
    90,952.88x = 194,271.75 × 194,271.75
  4. Step 4: Simplify right side
    90,952.88x = 37,741,512,848.06
  5. Step 5: Solve for x
    x = 37,741,512,848.06/90,952.88
  6. Step 6: Final answer
    x = 414,956.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.