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Finding the Third Proportional to 45,411.75 and 96,018.75

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Solution

The third proportional to 45,411.75 and 96,018.75 is: 203,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,411.75 : 96,018.75 = 96,018.75 : x
  2. Step 2: Convert to fraction form
    45,411.75/96,018.75 = 96,018.75/x
  3. Step 3: Cross multiply
    45,411.75x = 96,018.75 × 96,018.75
  4. Step 4: Simplify right side
    45,411.75x = 9,219,600,351.56
  5. Step 5: Solve for x
    x = 9,219,600,351.56/45,411.75
  6. Step 6: Final answer
    x = 203,022.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.