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Finding the Third Proportional to 44,568.75 and 97,884.38

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Solution

The third proportional to 44,568.75 and 97,884.38 is: 214,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,568.75 : 97,884.38 = 97,884.38 : x
  2. Step 2: Convert to fraction form
    44,568.75/97,884.38 = 97,884.38/x
  3. Step 3: Cross multiply
    44,568.75x = 97,884.38 × 97,884.38
  4. Step 4: Simplify right side
    44,568.75x = 9,581,350,869.14
  5. Step 5: Solve for x
    x = 9,581,350,869.14/44,568.75
  6. Step 6: Final answer
    x = 214,979.12

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Why These Related Problems?

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