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Finding the Third Proportional to 105,981.75 and 227,318.06

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Solution

The third proportional to 105,981.75 and 227,318.06 is: 487,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,981.75 : 227,318.06 = 227,318.06 : x
  2. Step 2: Convert to fraction form
    105,981.75/227,318.06 = 227,318.06/x
  3. Step 3: Cross multiply
    105,981.75x = 227,318.06 × 227,318.06
  4. Step 4: Simplify right side
    105,981.75x = 51,673,501,538.75
  5. Step 5: Solve for x
    x = 51,673,501,538.75/105,981.75
  6. Step 6: Final answer
    x = 487,569.81

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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.