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Finding the Third Proportional to 99,564 and 214,976

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Solution

The third proportional to 99,564 and 214,976 is: 464,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564 : 214,976 = 214,976 : x
  2. Step 2: Convert to fraction form
    99,564/214,976 = 214,976/x
  3. Step 3: Cross multiply
    99,564x = 214,976 × 214,976
  4. Step 4: Simplify right side
    99,564x = 46,214,680,576
  5. Step 5: Solve for x
    x = 46,214,680,576/99,564
  6. Step 6: Final answer
    x = 464,170.59

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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.