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Finding the Third Proportional to 89,216.25 and 128,235.38

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Solution

The third proportional to 89,216.25 and 128,235.38 is: 184,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,216.25 : 128,235.38 = 128,235.38 : x
  2. Step 2: Convert to fraction form
    89,216.25/128,235.38 = 128,235.38/x
  3. Step 3: Cross multiply
    89,216.25x = 128,235.38 × 128,235.38
  4. Step 4: Simplify right side
    89,216.25x = 16,444,311,401.39
  5. Step 5: Solve for x
    x = 16,444,311,401.39/89,216.25
  6. Step 6: Final answer
    x = 184,319.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.