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Finding the Third Proportional to 98,903 and 212,552

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Solution

The third proportional to 98,903 and 212,552 is: 456,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903 : 212,552 = 212,552 : x
  2. Step 2: Convert to fraction form
    98,903/212,552 = 212,552/x
  3. Step 3: Cross multiply
    98,903x = 212,552 × 212,552
  4. Step 4: Simplify right side
    98,903x = 45,178,352,704
  5. Step 5: Solve for x
    x = 45,178,352,704/98,903
  6. Step 6: Final answer
    x = 456,794.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.