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Finding the Third Proportional to 92,022.88 and 194,655.75

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Solution

The third proportional to 92,022.88 and 194,655.75 is: 411,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,022.88 : 194,655.75 = 194,655.75 : x
  2. Step 2: Convert to fraction form
    92,022.88/194,655.75 = 194,655.75/x
  3. Step 3: Cross multiply
    92,022.88x = 194,655.75 × 194,655.75
  4. Step 4: Simplify right side
    92,022.88x = 37,890,861,008.06
  5. Step 5: Solve for x
    x = 37,890,861,008.06/92,022.88
  6. Step 6: Final answer
    x = 411,754.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.