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Finding the Third Proportional to 109,892 and 236,848

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Solution

The third proportional to 109,892 and 236,848 is: 510,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892 : 236,848 = 236,848 : x
  2. Step 2: Convert to fraction form
    109,892/236,848 = 236,848/x
  3. Step 3: Cross multiply
    109,892x = 236,848 × 236,848
  4. Step 4: Simplify right side
    109,892x = 56,096,975,104
  5. Step 5: Solve for x
    x = 56,096,975,104/109,892
  6. Step 6: Final answer
    x = 510,473.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.