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Finding the Third Proportional to 50,983.17 and 109,344.94

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Solution

The third proportional to 50,983.17 and 109,344.94 is: 234,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,983.17 : 109,344.94 = 109,344.94 : x
  2. Step 2: Convert to fraction form
    50,983.17/109,344.94 = 109,344.94/x
  3. Step 3: Cross multiply
    50,983.17x = 109,344.94 × 109,344.94
  4. Step 4: Simplify right side
    50,983.17x = 11,956,315,356.88
  5. Step 5: Solve for x
    x = 11,956,315,356.88/50,983.17
  6. Step 6: Final answer
    x = 234,514.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.