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Finding the Third Proportional to 96,255 and 214,618.78

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Solution

The third proportional to 96,255 and 214,618.78 is: 478,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,255 : 214,618.78 = 214,618.78 : x
  2. Step 2: Convert to fraction form
    96,255/214,618.78 = 214,618.78/x
  3. Step 3: Cross multiply
    96,255x = 214,618.78 × 214,618.78
  4. Step 4: Simplify right side
    96,255x = 46,061,221,265.24
  5. Step 5: Solve for x
    x = 46,061,221,265.24/96,255
  6. Step 6: Final answer
    x = 478,533.28

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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.