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Finding the Third Proportional to 47,023.03 and 102,614.34

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Solution

The third proportional to 47,023.03 and 102,614.34 is: 223,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,023.03 : 102,614.34 = 102,614.34 : x
  2. Step 2: Convert to fraction form
    47,023.03/102,614.34 = 102,614.34/x
  3. Step 3: Cross multiply
    47,023.03x = 102,614.34 × 102,614.34
  4. Step 4: Simplify right side
    47,023.03x = 10,529,703,543.24
  5. Step 5: Solve for x
    x = 10,529,703,543.24/47,023.03
  6. Step 6: Final answer
    x = 223,926.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.