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Finding the Third Proportional to 91,857.75 and 196,837.38

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Solution

The third proportional to 91,857.75 and 196,837.38 is: 421,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,857.75 : 196,837.38 = 196,837.38 : x
  2. Step 2: Convert to fraction form
    91,857.75/196,837.38 = 196,837.38/x
  3. Step 3: Cross multiply
    91,857.75x = 196,837.38 × 196,837.38
  4. Step 4: Simplify right side
    91,857.75x = 38,744,952,196.89
  5. Step 5: Solve for x
    x = 38,744,952,196.89/91,857.75
  6. Step 6: Final answer
    x = 421,792.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.