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Finding the Third Proportional to 100,745.50 and 220,595

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Solution

The third proportional to 100,745.50 and 220,595 is: 483,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,745.50 : 220,595 = 220,595 : x
  2. Step 2: Convert to fraction form
    100,745.50/220,595 = 220,595/x
  3. Step 3: Cross multiply
    100,745.50x = 220,595 × 220,595
  4. Step 4: Simplify right side
    100,745.50x = 48,662,154,025
  5. Step 5: Solve for x
    x = 48,662,154,025/100,745.50
  6. Step 6: Final answer
    x = 483,020.62

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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.