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Finding the Third Proportional to 89,015.84 and 189,707.06

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Solution

The third proportional to 89,015.84 and 189,707.06 is: 404,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,015.84 : 189,707.06 = 189,707.06 : x
  2. Step 2: Convert to fraction form
    89,015.84/189,707.06 = 189,707.06/x
  3. Step 3: Cross multiply
    89,015.84x = 189,707.06 × 189,707.06
  4. Step 4: Simplify right side
    89,015.84x = 35,988,769,562.38
  5. Step 5: Solve for x
    x = 35,988,769,562.38/89,015.84
  6. Step 6: Final answer
    x = 404,296.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.