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Finding the Third Proportional to 46,192 and 96,320

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Solution

The third proportional to 46,192 and 96,320 is: 200,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,192 : 96,320 = 96,320 : x
  2. Step 2: Convert to fraction form
    46,192/96,320 = 96,320/x
  3. Step 3: Cross multiply
    46,192x = 96,320 × 96,320
  4. Step 4: Simplify right side
    46,192x = 9,277,542,400
  5. Step 5: Solve for x
    x = 9,277,542,400/46,192
  6. Step 6: Final answer
    x = 200,847.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.