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Finding the Third Proportional to 97,964.44 and 146,566.97

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Solution

The third proportional to 97,964.44 and 146,566.97 is: 219,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,964.44 : 146,566.97 = 146,566.97 : x
  2. Step 2: Convert to fraction form
    97,964.44/146,566.97 = 146,566.97/x
  3. Step 3: Cross multiply
    97,964.44x = 146,566.97 × 146,566.97
  4. Step 4: Simplify right side
    97,964.44x = 21,481,876,328.56
  5. Step 5: Solve for x
    x = 21,481,876,328.56/97,964.44
  6. Step 6: Final answer
    x = 219,282.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.