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Finding the Third Proportional to 45,343.94 and 98,453.44

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Solution

The third proportional to 45,343.94 and 98,453.44 is: 213,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,343.94 : 98,453.44 = 98,453.44 : x
  2. Step 2: Convert to fraction form
    45,343.94/98,453.44 = 98,453.44/x
  3. Step 3: Cross multiply
    45,343.94x = 98,453.44 × 98,453.44
  4. Step 4: Simplify right side
    45,343.94x = 9,693,080,509.32
  5. Step 5: Solve for x
    x = 9,693,080,509.32/45,343.94
  6. Step 6: Final answer
    x = 213,767.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.