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Finding the Third Proportional to 43,027.31 and 93,202.88

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Solution

The third proportional to 43,027.31 and 93,202.88 is: 201,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,027.31 : 93,202.88 = 93,202.88 : x
  2. Step 2: Convert to fraction form
    43,027.31/93,202.88 = 93,202.88/x
  3. Step 3: Cross multiply
    43,027.31x = 93,202.88 × 93,202.88
  4. Step 4: Simplify right side
    43,027.31x = 8,686,775,908.27
  5. Step 5: Solve for x
    x = 8,686,775,908.27/43,027.31
  6. Step 6: Final answer
    x = 201,889.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.