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Finding the Third Proportional to 91,840 and 189,536

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Solution

The third proportional to 91,840 and 189,536 is: 391,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,840 : 189,536 = 189,536 : x
  2. Step 2: Convert to fraction form
    91,840/189,536 = 189,536/x
  3. Step 3: Cross multiply
    91,840x = 189,536 × 189,536
  4. Step 4: Simplify right side
    91,840x = 35,923,895,296
  5. Step 5: Solve for x
    x = 35,923,895,296/91,840
  6. Step 6: Final answer
    x = 391,157.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.