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Finding the Third Proportional to 47,369.81 and 102,340.97

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Solution

The third proportional to 47,369.81 and 102,340.97 is: 221,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,369.81 : 102,340.97 = 102,340.97 : x
  2. Step 2: Convert to fraction form
    47,369.81/102,340.97 = 102,340.97/x
  3. Step 3: Cross multiply
    47,369.81x = 102,340.97 × 102,340.97
  4. Step 4: Simplify right side
    47,369.81x = 10,473,673,884.69
  5. Step 5: Solve for x
    x = 10,473,673,884.69/47,369.81
  6. Step 6: Final answer
    x = 221,104.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.