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Finding the Third Proportional to 99,318 and 226,909

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Solution

The third proportional to 99,318 and 226,909 is: 518,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,318 : 226,909 = 226,909 : x
  2. Step 2: Convert to fraction form
    99,318/226,909 = 226,909/x
  3. Step 3: Cross multiply
    99,318x = 226,909 × 226,909
  4. Step 4: Simplify right side
    99,318x = 51,487,694,281
  5. Step 5: Solve for x
    x = 51,487,694,281/99,318
  6. Step 6: Final answer
    x = 518,412.52

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.