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Finding the Third Proportional to 99,224 and 217,077

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Solution

The third proportional to 99,224 and 217,077 is: 474,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,224 : 217,077 = 217,077 : x
  2. Step 2: Convert to fraction form
    99,224/217,077 = 217,077/x
  3. Step 3: Cross multiply
    99,224x = 217,077 × 217,077
  4. Step 4: Simplify right side
    99,224x = 47,122,423,929
  5. Step 5: Solve for x
    x = 47,122,423,929/99,224
  6. Step 6: Final answer
    x = 474,909.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.