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Finding the Third Proportional to 92,530.50 and 198,826.50

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Solution

The third proportional to 92,530.50 and 198,826.50 is: 427,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,530.50 : 198,826.50 = 198,826.50 : x
  2. Step 2: Convert to fraction form
    92,530.50/198,826.50 = 198,826.50/x
  3. Step 3: Cross multiply
    92,530.50x = 198,826.50 × 198,826.50
  4. Step 4: Simplify right side
    92,530.50x = 39,531,977,102.25
  5. Step 5: Solve for x
    x = 39,531,977,102.25/92,530.50
  6. Step 6: Final answer
    x = 427,231.85

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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.