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Finding the Third Proportional to 48,401.13 and 104,218.63

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Solution

The third proportional to 48,401.13 and 104,218.63 is: 224,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,401.13 : 104,218.63 = 104,218.63 : x
  2. Step 2: Convert to fraction form
    48,401.13/104,218.63 = 104,218.63/x
  3. Step 3: Cross multiply
    48,401.13x = 104,218.63 × 104,218.63
  4. Step 4: Simplify right side
    48,401.13x = 10,861,521,796.89
  5. Step 5: Solve for x
    x = 10,861,521,796.89/48,401.13
  6. Step 6: Final answer
    x = 224,406.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.