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Finding the Third Proportional to 47,347.03 and 102,738.38

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Solution

The third proportional to 47,347.03 and 102,738.38 is: 222,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,347.03 : 102,738.38 = 102,738.38 : x
  2. Step 2: Convert to fraction form
    47,347.03/102,738.38 = 102,738.38/x
  3. Step 3: Cross multiply
    47,347.03x = 102,738.38 × 102,738.38
  4. Step 4: Simplify right side
    47,347.03x = 10,555,173,697.64
  5. Step 5: Solve for x
    x = 10,555,173,697.64/47,347.03
  6. Step 6: Final answer
    x = 222,932.11

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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.