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Finding the Third Proportional to 96,900 and 208,584

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Solution

The third proportional to 96,900 and 208,584 is: 448,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,900 : 208,584 = 208,584 : x
  2. Step 2: Convert to fraction form
    96,900/208,584 = 208,584/x
  3. Step 3: Cross multiply
    96,900x = 208,584 × 208,584
  4. Step 4: Simplify right side
    96,900x = 43,507,285,056
  5. Step 5: Solve for x
    x = 43,507,285,056/96,900
  6. Step 6: Final answer
    x = 448,991.59

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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.