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Finding the Third Proportional to 45,099.75 and 97,884.75

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Solution

The third proportional to 45,099.75 and 97,884.75 is: 212,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,099.75 : 97,884.75 = 97,884.75 : x
  2. Step 2: Convert to fraction form
    45,099.75/97,884.75 = 97,884.75/x
  3. Step 3: Cross multiply
    45,099.75x = 97,884.75 × 97,884.75
  4. Step 4: Simplify right side
    45,099.75x = 9,581,424,282.56
  5. Step 5: Solve for x
    x = 9,581,424,282.56/45,099.75
  6. Step 6: Final answer
    x = 212,449.61

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Why These Related Problems?

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