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Finding the Third Proportional to 38,924.30 and 85,118.98

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Solution

The third proportional to 38,924.30 and 85,118.98 is: 186,136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,924.30 : 85,118.98 = 85,118.98 : x
  2. Step 2: Convert to fraction form
    38,924.30/85,118.98 = 85,118.98/x
  3. Step 3: Cross multiply
    38,924.30x = 85,118.98 × 85,118.98
  4. Step 4: Simplify right side
    38,924.30x = 7,245,240,171.05
  5. Step 5: Solve for x
    x = 7,245,240,171.05/38,924.30
  6. Step 6: Final answer
    x = 186,136.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.