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Finding the Third Proportional to 107,430.89 and 227,668.15

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Solution

The third proportional to 107,430.89 and 227,668.15 is: 482,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,430.89 : 227,668.15 = 227,668.15 : x
  2. Step 2: Convert to fraction form
    107,430.89/227,668.15 = 227,668.15/x
  3. Step 3: Cross multiply
    107,430.89x = 227,668.15 × 227,668.15
  4. Step 4: Simplify right side
    107,430.89x = 51,832,785,812.96
  5. Step 5: Solve for x
    x = 51,832,785,812.96/107,430.89
  6. Step 6: Final answer
    x = 482,475.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.