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Finding the Third Proportional to 92,778.75 and 206,806.50

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Solution

The third proportional to 92,778.75 and 206,806.50 is: 460,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,778.75 : 206,806.50 = 206,806.50 : x
  2. Step 2: Convert to fraction form
    92,778.75/206,806.50 = 206,806.50/x
  3. Step 3: Cross multiply
    92,778.75x = 206,806.50 × 206,806.50
  4. Step 4: Simplify right side
    92,778.75x = 42,768,928,442.25
  5. Step 5: Solve for x
    x = 42,768,928,442.25/92,778.75
  6. Step 6: Final answer
    x = 460,977.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.