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Finding the Third Proportional to 104,095.13 and 223,981.45

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Solution

The third proportional to 104,095.13 and 223,981.45 is: 481,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,095.13 : 223,981.45 = 223,981.45 : x
  2. Step 2: Convert to fraction form
    104,095.13/223,981.45 = 223,981.45/x
  3. Step 3: Cross multiply
    104,095.13x = 223,981.45 × 223,981.45
  4. Step 4: Simplify right side
    104,095.13x = 50,167,691,343.99
  5. Step 5: Solve for x
    x = 50,167,691,343.99/104,095.13
  6. Step 6: Final answer
    x = 481,940.83

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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.