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Finding the Third Proportional to 101,738.81 and 223,155.56

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Solution

The third proportional to 101,738.81 and 223,155.56 is: 489,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,738.81 : 223,155.56 = 223,155.56 : x
  2. Step 2: Convert to fraction form
    101,738.81/223,155.56 = 223,155.56/x
  3. Step 3: Cross multiply
    101,738.81x = 223,155.56 × 223,155.56
  4. Step 4: Simplify right side
    101,738.81x = 49,798,405,074.69
  5. Step 5: Solve for x
    x = 49,798,405,074.69/101,738.81
  6. Step 6: Final answer
    x = 489,473.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.