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Finding the Third Proportional to 89,632 and 187,896

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Solution

The third proportional to 89,632 and 187,896 is: 393,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,632 : 187,896 = 187,896 : x
  2. Step 2: Convert to fraction form
    89,632/187,896 = 187,896/x
  3. Step 3: Cross multiply
    89,632x = 187,896 × 187,896
  4. Step 4: Simplify right side
    89,632x = 35,304,906,816
  5. Step 5: Solve for x
    x = 35,304,906,816/89,632
  6. Step 6: Final answer
    x = 393,887.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.