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Finding the Third Proportional to 96,737.63 and 146,566.97

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Solution

The third proportional to 96,737.63 and 146,566.97 is: 222,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,737.63 : 146,566.97 = 146,566.97 : x
  2. Step 2: Convert to fraction form
    96,737.63/146,566.97 = 146,566.97/x
  3. Step 3: Cross multiply
    96,737.63x = 146,566.97 × 146,566.97
  4. Step 4: Simplify right side
    96,737.63x = 21,481,876,328.56
  5. Step 5: Solve for x
    x = 21,481,876,328.56/96,737.63
  6. Step 6: Final answer
    x = 222,063.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.