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Finding the Third Proportional to 96,819 and 212,269

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Solution

The third proportional to 96,819 and 212,269 is: 465,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,819 : 212,269 = 212,269 : x
  2. Step 2: Convert to fraction form
    96,819/212,269 = 212,269/x
  3. Step 3: Cross multiply
    96,819x = 212,269 × 212,269
  4. Step 4: Simplify right side
    96,819x = 45,058,128,361
  5. Step 5: Solve for x
    x = 45,058,128,361/96,819
  6. Step 6: Final answer
    x = 465,385.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.