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Finding the Third Proportional to 44,943.75 and 97,732.13

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Solution

The third proportional to 44,943.75 and 97,732.13 is: 212,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,943.75 : 97,732.13 = 97,732.13 : x
  2. Step 2: Convert to fraction form
    44,943.75/97,732.13 = 97,732.13/x
  3. Step 3: Cross multiply
    44,943.75x = 97,732.13 × 97,732.13
  4. Step 4: Simplify right side
    44,943.75x = 9,551,568,257.02
  5. Step 5: Solve for x
    x = 9,551,568,257.02/44,943.75
  6. Step 6: Final answer
    x = 212,522.73

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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.