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Finding the Third Proportional to 107,223.75 and 235,451.81

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Solution

The third proportional to 107,223.75 and 235,451.81 is: 517,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223.75 : 235,451.81 = 235,451.81 : x
  2. Step 2: Convert to fraction form
    107,223.75/235,451.81 = 235,451.81/x
  3. Step 3: Cross multiply
    107,223.75x = 235,451.81 × 235,451.81
  4. Step 4: Simplify right side
    107,223.75x = 55,437,556,009.54
  5. Step 5: Solve for x
    x = 55,437,556,009.54/107,223.75
  6. Step 6: Final answer
    x = 517,026.83

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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.