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Finding the Third Proportional to 92,157.75 and 195,027.75

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Solution

The third proportional to 92,157.75 and 195,027.75 is: 412,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,157.75 : 195,027.75 = 195,027.75 : x
  2. Step 2: Convert to fraction form
    92,157.75/195,027.75 = 195,027.75/x
  3. Step 3: Cross multiply
    92,157.75x = 195,027.75 × 195,027.75
  4. Step 4: Simplify right side
    92,157.75x = 38,035,823,270.06
  5. Step 5: Solve for x
    x = 38,035,823,270.06/92,157.75
  6. Step 6: Final answer
    x = 412,725.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.