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Finding the Third Proportional to 95,908 and 224,011

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Solution

The third proportional to 95,908 and 224,011 is: 523,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,908 : 224,011 = 224,011 : x
  2. Step 2: Convert to fraction form
    95,908/224,011 = 224,011/x
  3. Step 3: Cross multiply
    95,908x = 224,011 × 224,011
  4. Step 4: Simplify right side
    95,908x = 50,180,928,121
  5. Step 5: Solve for x
    x = 50,180,928,121/95,908
  6. Step 6: Final answer
    x = 523,219.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.