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Finding the Third Proportional to 50,465 and 109,293

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Solution

The third proportional to 50,465 and 109,293 is: 236,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,465 : 109,293 = 109,293 : x
  2. Step 2: Convert to fraction form
    50,465/109,293 = 109,293/x
  3. Step 3: Cross multiply
    50,465x = 109,293 × 109,293
  4. Step 4: Simplify right side
    50,465x = 11,944,959,849
  5. Step 5: Solve for x
    x = 11,944,959,849/50,465
  6. Step 6: Final answer
    x = 236,697.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.