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Finding the Third Proportional to 99,344 and 212,893

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Solution

The third proportional to 99,344 and 212,893 is: 456,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,344 : 212,893 = 212,893 : x
  2. Step 2: Convert to fraction form
    99,344/212,893 = 212,893/x
  3. Step 3: Cross multiply
    99,344x = 212,893 × 212,893
  4. Step 4: Simplify right side
    99,344x = 45,323,429,449
  5. Step 5: Solve for x
    x = 45,323,429,449/99,344
  6. Step 6: Final answer
    x = 456,227.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.