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Finding the Third Proportional to 99,074 and 207,940

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Solution

The third proportional to 99,074 and 207,940 is: 436,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,074 : 207,940 = 207,940 : x
  2. Step 2: Convert to fraction form
    99,074/207,940 = 207,940/x
  3. Step 3: Cross multiply
    99,074x = 207,940 × 207,940
  4. Step 4: Simplify right side
    99,074x = 43,239,043,600
  5. Step 5: Solve for x
    x = 43,239,043,600/99,074
  6. Step 6: Final answer
    x = 436,431.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.