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Finding the Third Proportional to 89.86 and 215.93

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Solution

The third proportional to 89.86 and 215.93 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.86 : 215.93 = 215.93 : x
  2. Step 2: Convert to fraction form
    89.86/215.93 = 215.93/x
  3. Step 3: Cross multiply
    89.86x = 215.93 × 215.93
  4. Step 4: Simplify right side
    89.86x = 46,625.63
  5. Step 5: Solve for x
    x = 46,625.63/89.86
  6. Step 6: Final answer
    x = 518.87

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.