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Finding the Third Proportional to 109,218.75 and 146,794.88

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Solution

The third proportional to 109,218.75 and 146,794.88 is: 197,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218.75 : 146,794.88 = 146,794.88 : x
  2. Step 2: Convert to fraction form
    109,218.75/146,794.88 = 146,794.88/x
  3. Step 3: Cross multiply
    109,218.75x = 146,794.88 × 146,794.88
  4. Step 4: Simplify right side
    109,218.75x = 21,548,735,326.27
  5. Step 5: Solve for x
    x = 21,548,735,326.27/109,218.75
  6. Step 6: Final answer
    x = 197,298.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.