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Finding the Third Proportional to 96,648.75 and 147,844.13

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Solution

The third proportional to 96,648.75 and 147,844.13 is: 226,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,648.75 : 147,844.13 = 147,844.13 : x
  2. Step 2: Convert to fraction form
    96,648.75/147,844.13 = 147,844.13/x
  3. Step 3: Cross multiply
    96,648.75x = 147,844.13 × 147,844.13
  4. Step 4: Simplify right side
    96,648.75x = 21,857,885,297.02
  5. Step 5: Solve for x
    x = 21,857,885,297.02/96,648.75
  6. Step 6: Final answer
    x = 226,157.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.