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Finding the Third Proportional to 43,885.50 and 96,105

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Solution

The third proportional to 43,885.50 and 96,105 is: 210,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,885.50 : 96,105 = 96,105 : x
  2. Step 2: Convert to fraction form
    43,885.50/96,105 = 96,105/x
  3. Step 3: Cross multiply
    43,885.50x = 96,105 × 96,105
  4. Step 4: Simplify right side
    43,885.50x = 9,236,171,025
  5. Step 5: Solve for x
    x = 9,236,171,025/43,885.50
  6. Step 6: Final answer
    x = 210,460.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.