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Finding the Third Proportional to 20,186.63 and 47,150.63

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Solution

The third proportional to 20,186.63 and 47,150.63 is: 110,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.63 : 47,150.63 = 47,150.63 : x
  2. Step 2: Convert to fraction form
    20,186.63/47,150.63 = 47,150.63/x
  3. Step 3: Cross multiply
    20,186.63x = 47,150.63 × 47,150.63
  4. Step 4: Simplify right side
    20,186.63x = 2,223,181,437.89
  5. Step 5: Solve for x
    x = 2,223,181,437.89/20,186.63
  6. Step 6: Final answer
    x = 110,131.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.