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Finding the Third Proportional to 48,245.63 and 104,743.13

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Solution

The third proportional to 48,245.63 and 104,743.13 is: 227,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,245.63 : 104,743.13 = 104,743.13 : x
  2. Step 2: Convert to fraction form
    48,245.63/104,743.13 = 104,743.13/x
  3. Step 3: Cross multiply
    48,245.63x = 104,743.13 × 104,743.13
  4. Step 4: Simplify right side
    48,245.63x = 10,971,122,234.77
  5. Step 5: Solve for x
    x = 10,971,122,234.77/48,245.63
  6. Step 6: Final answer
    x = 227,401.39

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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.