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Finding the Third Proportional to 94,841.44 and 206,415.56

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Solution

The third proportional to 94,841.44 and 206,415.56 is: 449,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,841.44 : 206,415.56 = 206,415.56 : x
  2. Step 2: Convert to fraction form
    94,841.44/206,415.56 = 206,415.56/x
  3. Step 3: Cross multiply
    94,841.44x = 206,415.56 × 206,415.56
  4. Step 4: Simplify right side
    94,841.44x = 42,607,384,442.19
  5. Step 5: Solve for x
    x = 42,607,384,442.19/94,841.44
  6. Step 6: Final answer
    x = 449,248.62

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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.