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Finding the Third Proportional to 105,489.50 and 227,469.50

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Solution

The third proportional to 105,489.50 and 227,469.50 is: 490,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489.50 : 227,469.50 = 227,469.50 : x
  2. Step 2: Convert to fraction form
    105,489.50/227,469.50 = 227,469.50/x
  3. Step 3: Cross multiply
    105,489.50x = 227,469.50 × 227,469.50
  4. Step 4: Simplify right side
    105,489.50x = 51,742,373,430.25
  5. Step 5: Solve for x
    x = 51,742,373,430.25/105,489.50
  6. Step 6: Final answer
    x = 490,497.85

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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.