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Finding the Third Proportional to 50,229.50 and 110,502.50

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Solution

The third proportional to 50,229.50 and 110,502.50 is: 243,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,229.50 : 110,502.50 = 110,502.50 : x
  2. Step 2: Convert to fraction form
    50,229.50/110,502.50 = 110,502.50/x
  3. Step 3: Cross multiply
    50,229.50x = 110,502.50 × 110,502.50
  4. Step 4: Simplify right side
    50,229.50x = 12,210,802,506.25
  5. Step 5: Solve for x
    x = 12,210,802,506.25/50,229.50
  6. Step 6: Final answer
    x = 243,100.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.