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Finding the Third Proportional to 91,016 and 189,300

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Solution

The third proportional to 91,016 and 189,300 is: 393,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,016 : 189,300 = 189,300 : x
  2. Step 2: Convert to fraction form
    91,016/189,300 = 189,300/x
  3. Step 3: Cross multiply
    91,016x = 189,300 × 189,300
  4. Step 4: Simplify right side
    91,016x = 35,834,490,000
  5. Step 5: Solve for x
    x = 35,834,490,000/91,016
  6. Step 6: Final answer
    x = 393,716.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.