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Finding the Third Proportional to 202,101.75 and 441,396.75

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Solution

The third proportional to 202,101.75 and 441,396.75 is: 964,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101.75 : 441,396.75 = 441,396.75 : x
  2. Step 2: Convert to fraction form
    202,101.75/441,396.75 = 441,396.75/x
  3. Step 3: Cross multiply
    202,101.75x = 441,396.75 × 441,396.75
  4. Step 4: Simplify right side
    202,101.75x = 194,831,090,910.56
  5. Step 5: Solve for x
    x = 194,831,090,910.56/202,101.75
  6. Step 6: Final answer
    x = 964,024.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.