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Finding the Third Proportional to 106,667.51 and 234,812.04

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Solution

The third proportional to 106,667.51 and 234,812.04 is: 516,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,667.51 : 234,812.04 = 234,812.04 : x
  2. Step 2: Convert to fraction form
    106,667.51/234,812.04 = 234,812.04/x
  3. Step 3: Cross multiply
    106,667.51x = 234,812.04 × 234,812.04
  4. Step 4: Simplify right side
    106,667.51x = 55,136,693,688.69
  5. Step 5: Solve for x
    x = 55,136,693,688.69/106,667.51
  6. Step 6: Final answer
    x = 516,902.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.