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Finding the Third Proportional to 96,277 and 214,690

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Solution

The third proportional to 96,277 and 214,690 is: 478,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,277 : 214,690 = 214,690 : x
  2. Step 2: Convert to fraction form
    96,277/214,690 = 214,690/x
  3. Step 3: Cross multiply
    96,277x = 214,690 × 214,690
  4. Step 4: Simplify right side
    96,277x = 46,091,796,100
  5. Step 5: Solve for x
    x = 46,091,796,100/96,277
  6. Step 6: Final answer
    x = 478,741.51

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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.