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Finding the Third Proportional to 44,100 and 96,945

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Solution

The third proportional to 44,100 and 96,945 is: 213,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,100 : 96,945 = 96,945 : x
  2. Step 2: Convert to fraction form
    44,100/96,945 = 96,945/x
  3. Step 3: Cross multiply
    44,100x = 96,945 × 96,945
  4. Step 4: Simplify right side
    44,100x = 9,398,333,025
  5. Step 5: Solve for x
    x = 9,398,333,025/44,100
  6. Step 6: Final answer
    x = 213,114.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.