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Finding the Third Proportional to 104,722.75 and 226,048.88

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Solution

The third proportional to 104,722.75 and 226,048.88 is: 487,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,722.75 : 226,048.88 = 226,048.88 : x
  2. Step 2: Convert to fraction form
    104,722.75/226,048.88 = 226,048.88/x
  3. Step 3: Cross multiply
    104,722.75x = 226,048.88 × 226,048.88
  4. Step 4: Simplify right side
    104,722.75x = 51,098,093,888.77
  5. Step 5: Solve for x
    x = 51,098,093,888.77/104,722.75
  6. Step 6: Final answer
    x = 487,936.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.