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Finding the Third Proportional to 91,945.13 and 214,872.75

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Solution

The third proportional to 91,945.13 and 214,872.75 is: 502,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,945.13 : 214,872.75 = 214,872.75 : x
  2. Step 2: Convert to fraction form
    91,945.13/214,872.75 = 214,872.75/x
  3. Step 3: Cross multiply
    91,945.13x = 214,872.75 × 214,872.75
  4. Step 4: Simplify right side
    91,945.13x = 46,170,298,692.56
  5. Step 5: Solve for x
    x = 46,170,298,692.56/91,945.13
  6. Step 6: Final answer
    x = 502,150.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.