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Finding the Third Proportional to 88,270.31 and 193,046.06

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Solution

The third proportional to 88,270.31 and 193,046.06 is: 422,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,270.31 : 193,046.06 = 193,046.06 : x
  2. Step 2: Convert to fraction form
    88,270.31/193,046.06 = 193,046.06/x
  3. Step 3: Cross multiply
    88,270.31x = 193,046.06 × 193,046.06
  4. Step 4: Simplify right side
    88,270.31x = 37,266,782,246.75
  5. Step 5: Solve for x
    x = 37,266,782,246.75/88,270.31
  6. Step 6: Final answer
    x = 422,189.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.