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Finding the Third Proportional to 96,297.75 and 214,722

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Solution

The third proportional to 96,297.75 and 214,722 is: 478,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,297.75 : 214,722 = 214,722 : x
  2. Step 2: Convert to fraction form
    96,297.75/214,722 = 214,722/x
  3. Step 3: Cross multiply
    96,297.75x = 214,722 × 214,722
  4. Step 4: Simplify right side
    96,297.75x = 46,105,537,284
  5. Step 5: Solve for x
    x = 46,105,537,284/96,297.75
  6. Step 6: Final answer
    x = 478,781.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.