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Finding the Third Proportional to 91,939.22 and 140,583.09

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Solution

The third proportional to 91,939.22 and 140,583.09 is: 214,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,939.22 : 140,583.09 = 140,583.09 : x
  2. Step 2: Convert to fraction form
    91,939.22/140,583.09 = 140,583.09/x
  3. Step 3: Cross multiply
    91,939.22x = 140,583.09 × 140,583.09
  4. Step 4: Simplify right side
    91,939.22x = 19,763,606,248.32
  5. Step 5: Solve for x
    x = 19,763,606,248.32/91,939.22
  6. Step 6: Final answer
    x = 214,963.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.