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Finding the Third Proportional to 92,378 and 199,177

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Solution

The third proportional to 92,378 and 199,177 is: 429,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378 : 199,177 = 199,177 : x
  2. Step 2: Convert to fraction form
    92,378/199,177 = 199,177/x
  3. Step 3: Cross multiply
    92,378x = 199,177 × 199,177
  4. Step 4: Simplify right side
    92,378x = 39,671,477,329
  5. Step 5: Solve for x
    x = 39,671,477,329/92,378
  6. Step 6: Final answer
    x = 429,447.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.