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Finding the Third Proportional to 103,648.50 and 191,724.75

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Solution

The third proportional to 103,648.50 and 191,724.75 is: 354,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,648.50 : 191,724.75 = 191,724.75 : x
  2. Step 2: Convert to fraction form
    103,648.50/191,724.75 = 191,724.75/x
  3. Step 3: Cross multiply
    103,648.50x = 191,724.75 × 191,724.75
  4. Step 4: Simplify right side
    103,648.50x = 36,758,379,762.56
  5. Step 5: Solve for x
    x = 36,758,379,762.56/103,648.50
  6. Step 6: Final answer
    x = 354,644.59

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.