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Finding the Third Proportional to 47,487.94 and 101,332.69

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Solution

The third proportional to 47,487.94 and 101,332.69 is: 216,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,487.94 : 101,332.69 = 101,332.69 : x
  2. Step 2: Convert to fraction form
    47,487.94/101,332.69 = 101,332.69/x
  3. Step 3: Cross multiply
    47,487.94x = 101,332.69 × 101,332.69
  4. Step 4: Simplify right side
    47,487.94x = 10,268,313,555.97
  5. Step 5: Solve for x
    x = 10,268,313,555.97/47,487.94
  6. Step 6: Final answer
    x = 216,229.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.