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Finding the Third Proportional to 92,349 and 198,823.50

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Solution

The third proportional to 92,349 and 198,823.50 is: 428,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,349 : 198,823.50 = 198,823.50 : x
  2. Step 2: Convert to fraction form
    92,349/198,823.50 = 198,823.50/x
  3. Step 3: Cross multiply
    92,349x = 198,823.50 × 198,823.50
  4. Step 4: Simplify right side
    92,349x = 39,530,784,152.25
  5. Step 5: Solve for x
    x = 39,530,784,152.25/92,349
  6. Step 6: Final answer
    x = 428,058.61

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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.