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Finding the Third Proportional to 92,516 and 199,307

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Solution

The third proportional to 92,516 and 199,307 is: 429,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,516 : 199,307 = 199,307 : x
  2. Step 2: Convert to fraction form
    92,516/199,307 = 199,307/x
  3. Step 3: Cross multiply
    92,516x = 199,307 × 199,307
  4. Step 4: Simplify right side
    92,516x = 39,723,280,249
  5. Step 5: Solve for x
    x = 39,723,280,249/92,516
  6. Step 6: Final answer
    x = 429,366.60

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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.