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Finding the Third Proportional to 50,998.50 and 109,372.50

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Solution

The third proportional to 50,998.50 and 109,372.50 is: 234,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,998.50 : 109,372.50 = 109,372.50 : x
  2. Step 2: Convert to fraction form
    50,998.50/109,372.50 = 109,372.50/x
  3. Step 3: Cross multiply
    50,998.50x = 109,372.50 × 109,372.50
  4. Step 4: Simplify right side
    50,998.50x = 11,962,343,756.25
  5. Step 5: Solve for x
    x = 11,962,343,756.25/50,998.50
  6. Step 6: Final answer
    x = 234,562.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.