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Finding the Third Proportional to 92,365 and 198,855.50

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Solution

The third proportional to 92,365 and 198,855.50 is: 428,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,365 : 198,855.50 = 198,855.50 : x
  2. Step 2: Convert to fraction form
    92,365/198,855.50 = 198,855.50/x
  3. Step 3: Cross multiply
    92,365x = 198,855.50 × 198,855.50
  4. Step 4: Simplify right side
    92,365x = 39,543,509,880.25
  5. Step 5: Solve for x
    x = 39,543,509,880.25/92,365
  6. Step 6: Final answer
    x = 428,122.23

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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.