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Finding the Third Proportional to 47,621.39 and 101,803.64

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Solution

The third proportional to 47,621.39 and 101,803.64 is: 217,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,621.39 : 101,803.64 = 101,803.64 : x
  2. Step 2: Convert to fraction form
    47,621.39/101,803.64 = 101,803.64/x
  3. Step 3: Cross multiply
    47,621.39x = 101,803.64 × 101,803.64
  4. Step 4: Simplify right side
    47,621.39x = 10,363,981,244.50
  5. Step 5: Solve for x
    x = 10,363,981,244.50/47,621.39
  6. Step 6: Final answer
    x = 217,632.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.