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Finding the Third Proportional to 46,216 and 94,622

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Solution

The third proportional to 46,216 and 94,622 is: 193,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,216 : 94,622 = 94,622 : x
  2. Step 2: Convert to fraction form
    46,216/94,622 = 94,622/x
  3. Step 3: Cross multiply
    46,216x = 94,622 × 94,622
  4. Step 4: Simplify right side
    46,216x = 8,953,322,884
  5. Step 5: Solve for x
    x = 8,953,322,884/46,216
  6. Step 6: Final answer
    x = 193,727.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.