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Finding the Third Proportional to 94,434 and 191,604

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Solution

The third proportional to 94,434 and 191,604 is: 388,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,434 : 191,604 = 191,604 : x
  2. Step 2: Convert to fraction form
    94,434/191,604 = 191,604/x
  3. Step 3: Cross multiply
    94,434x = 191,604 × 191,604
  4. Step 4: Simplify right side
    94,434x = 36,712,092,816
  5. Step 5: Solve for x
    x = 36,712,092,816/94,434
  6. Step 6: Final answer
    x = 388,759.27

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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.