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Finding the Third Proportional to 210,961.97 and 454,906.13

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Solution

The third proportional to 210,961.97 and 454,906.13 is: 980,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,961.97 : 454,906.13 = 454,906.13 : x
  2. Step 2: Convert to fraction form
    210,961.97/454,906.13 = 454,906.13/x
  3. Step 3: Cross multiply
    210,961.97x = 454,906.13 × 454,906.13
  4. Step 4: Simplify right side
    210,961.97x = 206,939,582,562.52
  5. Step 5: Solve for x
    x = 206,939,582,562.52/210,961.97
  6. Step 6: Final answer
    x = 980,933.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.