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Finding the Third Proportional to 47,099.81 and 97,512.19

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Solution

The third proportional to 47,099.81 and 97,512.19 is: 201,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.81 : 97,512.19 = 97,512.19 : x
  2. Step 2: Convert to fraction form
    47,099.81/97,512.19 = 97,512.19/x
  3. Step 3: Cross multiply
    47,099.81x = 97,512.19 × 97,512.19
  4. Step 4: Simplify right side
    47,099.81x = 9,508,626,711.04
  5. Step 5: Solve for x
    x = 9,508,626,711.04/47,099.81
  6. Step 6: Final answer
    x = 201,882.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.