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Finding the Third Proportional to 98,620.75 and 160,226.38

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Solution

The third proportional to 98,620.75 and 160,226.38 is: 260,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,620.75 : 160,226.38 = 160,226.38 : x
  2. Step 2: Convert to fraction form
    98,620.75/160,226.38 = 160,226.38/x
  3. Step 3: Cross multiply
    98,620.75x = 160,226.38 × 160,226.38
  4. Step 4: Simplify right side
    98,620.75x = 25,672,491,245.64
  5. Step 5: Solve for x
    x = 25,672,491,245.64/98,620.75
  6. Step 6: Final answer
    x = 260,315.31

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.