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Finding the Third Proportional to 107,044.03 and 235,273.78

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Solution

The third proportional to 107,044.03 and 235,273.78 is: 517,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,044.03 : 235,273.78 = 235,273.78 : x
  2. Step 2: Convert to fraction form
    107,044.03/235,273.78 = 235,273.78/x
  3. Step 3: Cross multiply
    107,044.03x = 235,273.78 × 235,273.78
  4. Step 4: Simplify right side
    107,044.03x = 55,353,752,143.67
  5. Step 5: Solve for x
    x = 55,353,752,143.67/107,044.03
  6. Step 6: Final answer
    x = 517,111.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.