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Finding the Third Proportional to 200,743.31 and 445,773.38

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Solution

The third proportional to 200,743.31 and 445,773.38 is: 989,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,743.31 : 445,773.38 = 445,773.38 : x
  2. Step 2: Convert to fraction form
    200,743.31/445,773.38 = 445,773.38/x
  3. Step 3: Cross multiply
    200,743.31x = 445,773.38 × 445,773.38
  4. Step 4: Simplify right side
    200,743.31x = 198,713,901,858.89
  5. Step 5: Solve for x
    x = 198,713,901,858.89/200,743.31
  6. Step 6: Final answer
    x = 989,890.52

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.