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Finding the Third Proportional to 92,583 and 199,584

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Solution

The third proportional to 92,583 and 199,584 is: 430,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,583 : 199,584 = 199,584 : x
  2. Step 2: Convert to fraction form
    92,583/199,584 = 199,584/x
  3. Step 3: Cross multiply
    92,583x = 199,584 × 199,584
  4. Step 4: Simplify right side
    92,583x = 39,833,773,056
  5. Step 5: Solve for x
    x = 39,833,773,056/92,583
  6. Step 6: Final answer
    x = 430,249.32

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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.