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Finding the Third Proportional to 96,672 and 212,387

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Solution

The third proportional to 96,672 and 212,387 is: 466,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,672 : 212,387 = 212,387 : x
  2. Step 2: Convert to fraction form
    96,672/212,387 = 212,387/x
  3. Step 3: Cross multiply
    96,672x = 212,387 × 212,387
  4. Step 4: Simplify right side
    96,672x = 45,108,237,769
  5. Step 5: Solve for x
    x = 45,108,237,769/96,672
  6. Step 6: Final answer
    x = 466,611.20

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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.