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Finding the Third Proportional to 46,347 and 95,976

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Solution

The third proportional to 46,347 and 95,976 is: 198,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,347 : 95,976 = 95,976 : x
  2. Step 2: Convert to fraction form
    46,347/95,976 = 95,976/x
  3. Step 3: Cross multiply
    46,347x = 95,976 × 95,976
  4. Step 4: Simplify right side
    46,347x = 9,211,392,576
  5. Step 5: Solve for x
    x = 9,211,392,576/46,347
  6. Step 6: Final answer
    x = 198,748.41

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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.