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Finding the Third Proportional to 46,947 and 96,992

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Solution

The third proportional to 46,947 and 96,992 is: 200,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,947 : 96,992 = 96,992 : x
  2. Step 2: Convert to fraction form
    46,947/96,992 = 96,992/x
  3. Step 3: Cross multiply
    46,947x = 96,992 × 96,992
  4. Step 4: Simplify right side
    46,947x = 9,407,448,064
  5. Step 5: Solve for x
    x = 9,407,448,064/46,947
  6. Step 6: Final answer
    x = 200,384.43

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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.