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Finding the Third Proportional to 45,243.56 and 96,495.68

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Solution

The third proportional to 45,243.56 and 96,495.68 is: 205,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,243.56 : 96,495.68 = 96,495.68 : x
  2. Step 2: Convert to fraction form
    45,243.56/96,495.68 = 96,495.68/x
  3. Step 3: Cross multiply
    45,243.56x = 96,495.68 × 96,495.68
  4. Step 4: Simplify right side
    45,243.56x = 9,311,416,198.35
  5. Step 5: Solve for x
    x = 9,311,416,198.35/45,243.56
  6. Step 6: Final answer
    x = 205,806.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.