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Finding the Third Proportional to 48,905.50 and 104,270.25

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Solution

The third proportional to 48,905.50 and 104,270.25 is: 222,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,905.50 : 104,270.25 = 104,270.25 : x
  2. Step 2: Convert to fraction form
    48,905.50/104,270.25 = 104,270.25/x
  3. Step 3: Cross multiply
    48,905.50x = 104,270.25 × 104,270.25
  4. Step 4: Simplify right side
    48,905.50x = 10,872,285,035.06
  5. Step 5: Solve for x
    x = 10,872,285,035.06/48,905.50
  6. Step 6: Final answer
    x = 222,312.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.