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Finding the Third Proportional to 92,040 and 199,451

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Solution

The third proportional to 92,040 and 199,451 is: 432,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,040 : 199,451 = 199,451 : x
  2. Step 2: Convert to fraction form
    92,040/199,451 = 199,451/x
  3. Step 3: Cross multiply
    92,040x = 199,451 × 199,451
  4. Step 4: Simplify right side
    92,040x = 39,780,701,401
  5. Step 5: Solve for x
    x = 39,780,701,401/92,040
  6. Step 6: Final answer
    x = 432,211.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.