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Finding the Third Proportional to 99,456.75 and 214,794

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Solution

The third proportional to 99,456.75 and 214,794 is: 463,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,456.75 : 214,794 = 214,794 : x
  2. Step 2: Convert to fraction form
    99,456.75/214,794 = 214,794/x
  3. Step 3: Cross multiply
    99,456.75x = 214,794 × 214,794
  4. Step 4: Simplify right side
    99,456.75x = 46,136,462,436
  5. Step 5: Solve for x
    x = 46,136,462,436/99,456.75
  6. Step 6: Final answer
    x = 463,884.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.