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Finding the Third Proportional to 100,977.89 and 215,453.67

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Solution

The third proportional to 100,977.89 and 215,453.67 is: 459,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977.89 : 215,453.67 = 215,453.67 : x
  2. Step 2: Convert to fraction form
    100,977.89/215,453.67 = 215,453.67/x
  3. Step 3: Cross multiply
    100,977.89x = 215,453.67 × 215,453.67
  4. Step 4: Simplify right side
    100,977.89x = 46,420,284,724.42
  5. Step 5: Solve for x
    x = 46,420,284,724.42/100,977.89
  6. Step 6: Final answer
    x = 459,707.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.