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Finding the Third Proportional to 91,014 and 194,676

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Solution

The third proportional to 91,014 and 194,676 is: 416,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014 : 194,676 = 194,676 : x
  2. Step 2: Convert to fraction form
    91,014/194,676 = 194,676/x
  3. Step 3: Cross multiply
    91,014x = 194,676 × 194,676
  4. Step 4: Simplify right side
    91,014x = 37,898,744,976
  5. Step 5: Solve for x
    x = 37,898,744,976/91,014
  6. Step 6: Final answer
    x = 416,405.66

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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.