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Finding the Third Proportional to 92,050 and 198,185

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Solution

The third proportional to 92,050 and 198,185 is: 426,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,050 : 198,185 = 198,185 : x
  2. Step 2: Convert to fraction form
    92,050/198,185 = 198,185/x
  3. Step 3: Cross multiply
    92,050x = 198,185 × 198,185
  4. Step 4: Simplify right side
    92,050x = 39,277,294,225
  5. Step 5: Solve for x
    x = 39,277,294,225/92,050
  6. Step 6: Final answer
    x = 426,695.21

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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.