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Finding the Third Proportional to 94,416 and 191,568

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Solution

The third proportional to 94,416 and 191,568 is: 388,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,416 : 191,568 = 191,568 : x
  2. Step 2: Convert to fraction form
    94,416/191,568 = 191,568/x
  3. Step 3: Cross multiply
    94,416x = 191,568 × 191,568
  4. Step 4: Simplify right side
    94,416x = 36,698,298,624
  5. Step 5: Solve for x
    x = 36,698,298,624/94,416
  6. Step 6: Final answer
    x = 388,687.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.