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Finding the Third Proportional to 46,992 and 99,225

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Solution

The third proportional to 46,992 and 99,225 is: 209,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 99,225 = 99,225 : x
  2. Step 2: Convert to fraction form
    46,992/99,225 = 99,225/x
  3. Step 3: Cross multiply
    46,992x = 99,225 × 99,225
  4. Step 4: Simplify right side
    46,992x = 9,845,600,625
  5. Step 5: Solve for x
    x = 9,845,600,625/46,992
  6. Step 6: Final answer
    x = 209,516.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.