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Finding the Third Proportional to 98,903 and 212,107

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Solution

The third proportional to 98,903 and 212,107 is: 454,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903 : 212,107 = 212,107 : x
  2. Step 2: Convert to fraction form
    98,903/212,107 = 212,107/x
  3. Step 3: Cross multiply
    98,903x = 212,107 × 212,107
  4. Step 4: Simplify right side
    98,903x = 44,989,379,449
  5. Step 5: Solve for x
    x = 44,989,379,449/98,903
  6. Step 6: Final answer
    x = 454,883.87

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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.