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Finding the Third Proportional to 46,888 and 102,096

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Solution

The third proportional to 46,888 and 102,096 is: 222,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,888 : 102,096 = 102,096 : x
  2. Step 2: Convert to fraction form
    46,888/102,096 = 102,096/x
  3. Step 3: Cross multiply
    46,888x = 102,096 × 102,096
  4. Step 4: Simplify right side
    46,888x = 10,423,593,216
  5. Step 5: Solve for x
    x = 10,423,593,216/46,888
  6. Step 6: Final answer
    x = 222,308.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.