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Finding the Third Proportional to 48,940.50 and 107,997

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Solution

The third proportional to 48,940.50 and 107,997 is: 238,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,940.50 : 107,997 = 107,997 : x
  2. Step 2: Convert to fraction form
    48,940.50/107,997 = 107,997/x
  3. Step 3: Cross multiply
    48,940.50x = 107,997 × 107,997
  4. Step 4: Simplify right side
    48,940.50x = 11,663,352,009
  5. Step 5: Solve for x
    x = 11,663,352,009/48,940.50
  6. Step 6: Final answer
    x = 238,316.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.