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Finding the Third Proportional to 96,126.02 and 207,043.12

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Solution

The third proportional to 96,126.02 and 207,043.12 is: 445,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,126.02 : 207,043.12 = 207,043.12 : x
  2. Step 2: Convert to fraction form
    96,126.02/207,043.12 = 207,043.12/x
  3. Step 3: Cross multiply
    96,126.02x = 207,043.12 × 207,043.12
  4. Step 4: Simplify right side
    96,126.02x = 42,866,853,183.48
  5. Step 5: Solve for x
    x = 42,866,853,183.48/96,126.02
  6. Step 6: Final answer
    x = 445,944.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.