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Finding the Third Proportional to 96,467 and 208,529

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Solution

The third proportional to 96,467 and 208,529 is: 450,769.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,467 : 208,529 = 208,529 : x
  2. Step 2: Convert to fraction form
    96,467/208,529 = 208,529/x
  3. Step 3: Cross multiply
    96,467x = 208,529 × 208,529
  4. Step 4: Simplify right side
    96,467x = 43,484,343,841
  5. Step 5: Solve for x
    x = 43,484,343,841/96,467
  6. Step 6: Final answer
    x = 450,769.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.