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Finding the Third Proportional to 96,746.91 and 146,583.42

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Solution

The third proportional to 96,746.91 and 146,583.42 is: 222,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,746.91 : 146,583.42 = 146,583.42 : x
  2. Step 2: Convert to fraction form
    96,746.91/146,583.42 = 146,583.42/x
  3. Step 3: Cross multiply
    96,746.91x = 146,583.42 × 146,583.42
  4. Step 4: Simplify right side
    96,746.91x = 21,486,699,568.58
  5. Step 5: Solve for x
    x = 21,486,699,568.58/96,746.91
  6. Step 6: Final answer
    x = 222,091.85

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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.