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Finding the Third Proportional to 96,499 and 212,631

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Solution

The third proportional to 96,499 and 212,631 is: 468,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,499 : 212,631 = 212,631 : x
  2. Step 2: Convert to fraction form
    96,499/212,631 = 212,631/x
  3. Step 3: Cross multiply
    96,499x = 212,631 × 212,631
  4. Step 4: Simplify right side
    96,499x = 45,211,942,161
  5. Step 5: Solve for x
    x = 45,211,942,161/96,499
  6. Step 6: Final answer
    x = 468,522.39

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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.