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Finding the Third Proportional to 48,068.44 and 105,187.78

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Solution

The third proportional to 48,068.44 and 105,187.78 is: 230,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,068.44 : 105,187.78 = 105,187.78 : x
  2. Step 2: Convert to fraction form
    48,068.44/105,187.78 = 105,187.78/x
  3. Step 3: Cross multiply
    48,068.44x = 105,187.78 × 105,187.78
  4. Step 4: Simplify right side
    48,068.44x = 11,064,469,324.30
  5. Step 5: Solve for x
    x = 11,064,469,324.30/48,068.44
  6. Step 6: Final answer
    x = 230,181.59

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Why These Related Problems?

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