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Finding the Third Proportional to 92,577 and 199,869

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Solution

The third proportional to 92,577 and 199,869 is: 431,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,577 : 199,869 = 199,869 : x
  2. Step 2: Convert to fraction form
    92,577/199,869 = 199,869/x
  3. Step 3: Cross multiply
    92,577x = 199,869 × 199,869
  4. Step 4: Simplify right side
    92,577x = 39,947,617,161
  5. Step 5: Solve for x
    x = 39,947,617,161/92,577
  6. Step 6: Final answer
    x = 431,506.93

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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.