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Finding the Third Proportional to 99,284 and 214,116

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Solution

The third proportional to 99,284 and 214,116 is: 461,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,284 : 214,116 = 214,116 : x
  2. Step 2: Convert to fraction form
    99,284/214,116 = 214,116/x
  3. Step 3: Cross multiply
    99,284x = 214,116 × 214,116
  4. Step 4: Simplify right side
    99,284x = 45,845,661,456
  5. Step 5: Solve for x
    x = 45,845,661,456/99,284
  6. Step 6: Final answer
    x = 461,762.84

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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.