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Finding the Third Proportional to 96,640.50 and 146,297.50

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Solution

The third proportional to 96,640.50 and 146,297.50 is: 221,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,640.50 : 146,297.50 = 146,297.50 : x
  2. Step 2: Convert to fraction form
    96,640.50/146,297.50 = 146,297.50/x
  3. Step 3: Cross multiply
    96,640.50x = 146,297.50 × 146,297.50
  4. Step 4: Simplify right side
    96,640.50x = 21,402,958,506.25
  5. Step 5: Solve for x
    x = 21,402,958,506.25/96,640.50
  6. Step 6: Final answer
    x = 221,469.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.