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Finding the Third Proportional to 102,120.75 and 221,676.75

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Solution

The third proportional to 102,120.75 and 221,676.75 is: 481,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 221,676.75 = 221,676.75 : x
  2. Step 2: Convert to fraction form
    102,120.75/221,676.75 = 221,676.75/x
  3. Step 3: Cross multiply
    102,120.75x = 221,676.75 × 221,676.75
  4. Step 4: Simplify right side
    102,120.75x = 49,140,581,490.56
  5. Step 5: Solve for x
    x = 49,140,581,490.56/102,120.75
  6. Step 6: Final answer
    x = 481,200.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.