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Finding the Third Proportional to 96,907 and 212,910

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Solution

The third proportional to 96,907 and 212,910 is: 467,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,907 : 212,910 = 212,910 : x
  2. Step 2: Convert to fraction form
    96,907/212,910 = 212,910/x
  3. Step 3: Cross multiply
    96,907x = 212,910 × 212,910
  4. Step 4: Simplify right side
    96,907x = 45,330,668,100
  5. Step 5: Solve for x
    x = 45,330,668,100/96,907
  6. Step 6: Final answer
    x = 467,774.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.