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Finding the Third Proportional to 91,798 and 194,625

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Solution

The third proportional to 91,798 and 194,625 is: 412,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,798 : 194,625 = 194,625 : x
  2. Step 2: Convert to fraction form
    91,798/194,625 = 194,625/x
  3. Step 3: Cross multiply
    91,798x = 194,625 × 194,625
  4. Step 4: Simplify right side
    91,798x = 37,878,890,625
  5. Step 5: Solve for x
    x = 37,878,890,625/91,798
  6. Step 6: Final answer
    x = 412,633.07

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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.