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Finding the Third Proportional to 89,694 and 190,320.75

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Solution

The third proportional to 89,694 and 190,320.75 is: 403,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,694 : 190,320.75 = 190,320.75 : x
  2. Step 2: Convert to fraction form
    89,694/190,320.75 = 190,320.75/x
  3. Step 3: Cross multiply
    89,694x = 190,320.75 × 190,320.75
  4. Step 4: Simplify right side
    89,694x = 36,221,987,880.56
  5. Step 5: Solve for x
    x = 36,221,987,880.56/89,694
  6. Step 6: Final answer
    x = 403,839.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.