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Finding the Third Proportional to 46,284 and 95,850

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Solution

The third proportional to 46,284 and 95,850 is: 198,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284 : 95,850 = 95,850 : x
  2. Step 2: Convert to fraction form
    46,284/95,850 = 95,850/x
  3. Step 3: Cross multiply
    46,284x = 95,850 × 95,850
  4. Step 4: Simplify right side
    46,284x = 9,187,222,500
  5. Step 5: Solve for x
    x = 9,187,222,500/46,284
  6. Step 6: Final answer
    x = 198,496.73

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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.