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Finding the Third Proportional to 97,455 and 209,949

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Solution

The third proportional to 97,455 and 209,949 is: 452,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,455 : 209,949 = 209,949 : x
  2. Step 2: Convert to fraction form
    97,455/209,949 = 209,949/x
  3. Step 3: Cross multiply
    97,455x = 209,949 × 209,949
  4. Step 4: Simplify right side
    97,455x = 44,078,582,601
  5. Step 5: Solve for x
    x = 44,078,582,601/97,455
  6. Step 6: Final answer
    x = 452,296.78

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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.