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Finding the Third Proportional to 49,770 and 104,150.25

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Solution

The third proportional to 49,770 and 104,150.25 is: 217,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770 : 104,150.25 = 104,150.25 : x
  2. Step 2: Convert to fraction form
    49,770/104,150.25 = 104,150.25/x
  3. Step 3: Cross multiply
    49,770x = 104,150.25 × 104,150.25
  4. Step 4: Simplify right side
    49,770x = 10,847,274,575.06
  5. Step 5: Solve for x
    x = 10,847,274,575.06/49,770
  6. Step 6: Final answer
    x = 217,948.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.