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Finding the Third Proportional to 46,168 and 99,233

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Solution

The third proportional to 46,168 and 99,233 is: 213,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,168 : 99,233 = 99,233 : x
  2. Step 2: Convert to fraction form
    46,168/99,233 = 99,233/x
  3. Step 3: Cross multiply
    46,168x = 99,233 × 99,233
  4. Step 4: Simplify right side
    46,168x = 9,847,188,289
  5. Step 5: Solve for x
    x = 9,847,188,289/46,168
  6. Step 6: Final answer
    x = 213,290.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.