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Finding the Third Proportional to 91,017 and 189,310.50

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Solution

The third proportional to 91,017 and 189,310.50 is: 393,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,017 : 189,310.50 = 189,310.50 : x
  2. Step 2: Convert to fraction form
    91,017/189,310.50 = 189,310.50/x
  3. Step 3: Cross multiply
    91,017x = 189,310.50 × 189,310.50
  4. Step 4: Simplify right side
    91,017x = 35,838,465,410.25
  5. Step 5: Solve for x
    x = 35,838,465,410.25/91,017
  6. Step 6: Final answer
    x = 393,755.73

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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.