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Finding the Third Proportional to 96,904 and 208,648

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Solution

The third proportional to 96,904 and 208,648 is: 449,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904 : 208,648 = 208,648 : x
  2. Step 2: Convert to fraction form
    96,904/208,648 = 208,648/x
  3. Step 3: Cross multiply
    96,904x = 208,648 × 208,648
  4. Step 4: Simplify right side
    96,904x = 43,533,987,904
  5. Step 5: Solve for x
    x = 43,533,987,904/96,904
  6. Step 6: Final answer
    x = 449,248.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.