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Finding the Third Proportional to 96,905 and 208,650

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Solution

The third proportional to 96,905 and 208,650 is: 449,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,905 : 208,650 = 208,650 : x
  2. Step 2: Convert to fraction form
    96,905/208,650 = 208,650/x
  3. Step 3: Cross multiply
    96,905x = 208,650 × 208,650
  4. Step 4: Simplify right side
    96,905x = 43,534,822,500
  5. Step 5: Solve for x
    x = 43,534,822,500/96,905
  6. Step 6: Final answer
    x = 449,252.59

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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.