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Finding the Third Proportional to 89,160.75 and 193,190.06

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Solution

The third proportional to 89,160.75 and 193,190.06 is: 418,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,160.75 : 193,190.06 = 193,190.06 : x
  2. Step 2: Convert to fraction form
    89,160.75/193,190.06 = 193,190.06/x
  3. Step 3: Cross multiply
    89,160.75x = 193,190.06 × 193,190.06
  4. Step 4: Simplify right side
    89,160.75x = 37,322,400,248.75
  5. Step 5: Solve for x
    x = 37,322,400,248.75/89,160.75
  6. Step 6: Final answer
    x = 418,596.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.