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Finding the Third Proportional to 88,002 and 189,272.25

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Solution

The third proportional to 88,002 and 189,272.25 is: 407,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,002 : 189,272.25 = 189,272.25 : x
  2. Step 2: Convert to fraction form
    88,002/189,272.25 = 189,272.25/x
  3. Step 3: Cross multiply
    88,002x = 189,272.25 × 189,272.25
  4. Step 4: Simplify right side
    88,002x = 35,823,984,620.06
  5. Step 5: Solve for x
    x = 35,823,984,620.06/88,002
  6. Step 6: Final answer
    x = 407,081.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.