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Finding the Third Proportional to 106,580.65 and 227,929.25

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Solution

The third proportional to 106,580.65 and 227,929.25 is: 487,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.65 : 227,929.25 = 227,929.25 : x
  2. Step 2: Convert to fraction form
    106,580.65/227,929.25 = 227,929.25/x
  3. Step 3: Cross multiply
    106,580.65x = 227,929.25 × 227,929.25
  4. Step 4: Simplify right side
    106,580.65x = 51,951,744,786.26
  5. Step 5: Solve for x
    x = 51,951,744,786.26/106,580.65
  6. Step 6: Final answer
    x = 487,440.66

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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.