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Finding the Third Proportional to 92,641 and 199,323

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Solution

The third proportional to 92,641 and 199,323 is: 428,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,641 : 199,323 = 199,323 : x
  2. Step 2: Convert to fraction form
    92,641/199,323 = 199,323/x
  3. Step 3: Cross multiply
    92,641x = 199,323 × 199,323
  4. Step 4: Simplify right side
    92,641x = 39,729,658,329
  5. Step 5: Solve for x
    x = 39,729,658,329/92,641
  6. Step 6: Final answer
    x = 428,856.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.