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Finding the Third Proportional to 202,963.22 and 309,229.31

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Solution

The third proportional to 202,963.22 and 309,229.31 is: 471,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,963.22 : 309,229.31 = 309,229.31 : x
  2. Step 2: Convert to fraction form
    202,963.22/309,229.31 = 309,229.31/x
  3. Step 3: Cross multiply
    202,963.22x = 309,229.31 × 309,229.31
  4. Step 4: Simplify right side
    202,963.22x = 95,622,767,709.22
  5. Step 5: Solve for x
    x = 95,622,767,709.22/202,963.22
  6. Step 6: Final answer
    x = 471,133.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.