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Finding the Third Proportional to 89,215.31 and 128,233.69

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Solution

The third proportional to 89,215.31 and 128,233.69 is: 184,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,215.31 : 128,233.69 = 128,233.69 : x
  2. Step 2: Convert to fraction form
    89,215.31/128,233.69 = 128,233.69/x
  3. Step 3: Cross multiply
    89,215.31x = 128,233.69 × 128,233.69
  4. Step 4: Simplify right side
    89,215.31x = 16,443,878,609.85
  5. Step 5: Solve for x
    x = 16,443,878,609.85/89,215.31
  6. Step 6: Final answer
    x = 184,316.77

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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.