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Finding the Third Proportional to 46,314 and 95,904

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Solution

The third proportional to 46,314 and 95,904 is: 198,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,314 : 95,904 = 95,904 : x
  2. Step 2: Convert to fraction form
    46,314/95,904 = 95,904/x
  3. Step 3: Cross multiply
    46,314x = 95,904 × 95,904
  4. Step 4: Simplify right side
    46,314x = 9,197,577,216
  5. Step 5: Solve for x
    x = 9,197,577,216/46,314
  6. Step 6: Final answer
    x = 198,591.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.