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Finding the Third Proportional to 105,796.13 and 226,149.47

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Solution

The third proportional to 105,796.13 and 226,149.47 is: 483,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,796.13 : 226,149.47 = 226,149.47 : x
  2. Step 2: Convert to fraction form
    105,796.13/226,149.47 = 226,149.47/x
  3. Step 3: Cross multiply
    105,796.13x = 226,149.47 × 226,149.47
  4. Step 4: Simplify right side
    105,796.13x = 51,143,582,215.91
  5. Step 5: Solve for x
    x = 51,143,582,215.91/105,796.13
  6. Step 6: Final answer
    x = 483,416.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.