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Finding the Third Proportional to 88,778.75 and 190,733.38

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Solution

The third proportional to 88,778.75 and 190,733.38 is: 409,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,778.75 : 190,733.38 = 190,733.38 : x
  2. Step 2: Convert to fraction form
    88,778.75/190,733.38 = 190,733.38/x
  3. Step 3: Cross multiply
    88,778.75x = 190,733.38 × 190,733.38
  4. Step 4: Simplify right side
    88,778.75x = 36,379,220,338.89
  5. Step 5: Solve for x
    x = 36,379,220,338.89/88,778.75
  6. Step 6: Final answer
    x = 409,773.96

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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.