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Finding the Third Proportional to 107,403.75 and 223,632.75

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Solution

The third proportional to 107,403.75 and 223,632.75 is: 465,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,403.75 : 223,632.75 = 223,632.75 : x
  2. Step 2: Convert to fraction form
    107,403.75/223,632.75 = 223,632.75/x
  3. Step 3: Cross multiply
    107,403.75x = 223,632.75 × 223,632.75
  4. Step 4: Simplify right side
    107,403.75x = 50,011,606,872.56
  5. Step 5: Solve for x
    x = 50,011,606,872.56/107,403.75
  6. Step 6: Final answer
    x = 465,641.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.