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Finding the Third Proportional to 92,454 and 199,641

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Solution

The third proportional to 92,454 and 199,641 is: 431,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,454 : 199,641 = 199,641 : x
  2. Step 2: Convert to fraction form
    92,454/199,641 = 199,641/x
  3. Step 3: Cross multiply
    92,454x = 199,641 × 199,641
  4. Step 4: Simplify right side
    92,454x = 39,856,528,881
  5. Step 5: Solve for x
    x = 39,856,528,881/92,454
  6. Step 6: Final answer
    x = 431,095.78

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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.