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Finding the Third Proportional to 43,013.25 and 101,200.50

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Solution

The third proportional to 43,013.25 and 101,200.50 is: 238,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,013.25 : 101,200.50 = 101,200.50 : x
  2. Step 2: Convert to fraction form
    43,013.25/101,200.50 = 101,200.50/x
  3. Step 3: Cross multiply
    43,013.25x = 101,200.50 × 101,200.50
  4. Step 4: Simplify right side
    43,013.25x = 10,241,541,200.25
  5. Step 5: Solve for x
    x = 10,241,541,200.25/43,013.25
  6. Step 6: Final answer
    x = 238,102.01

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.