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Finding the Third Proportional to 47,400.19 and 102,682.69

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Solution

The third proportional to 47,400.19 and 102,682.69 is: 222,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400.19 : 102,682.69 = 102,682.69 : x
  2. Step 2: Convert to fraction form
    47,400.19/102,682.69 = 102,682.69/x
  3. Step 3: Cross multiply
    47,400.19x = 102,682.69 × 102,682.69
  4. Step 4: Simplify right side
    47,400.19x = 10,543,734,312.22
  5. Step 5: Solve for x
    x = 10,543,734,312.22/47,400.19
  6. Step 6: Final answer
    x = 222,440.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.