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Finding the Third Proportional to 43,051.50 and 91,224.56

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Solution

The third proportional to 43,051.50 and 91,224.56 is: 193,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,051.50 : 91,224.56 = 91,224.56 : x
  2. Step 2: Convert to fraction form
    43,051.50/91,224.56 = 91,224.56/x
  3. Step 3: Cross multiply
    43,051.50x = 91,224.56 × 91,224.56
  4. Step 4: Simplify right side
    43,051.50x = 8,321,920,803.32
  5. Step 5: Solve for x
    x = 8,321,920,803.32/43,051.50
  6. Step 6: Final answer
    x = 193,301.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.