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Finding the Third Proportional to 45,530 and 98,836

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Solution

The third proportional to 45,530 and 98,836 is: 214,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,530 : 98,836 = 98,836 : x
  2. Step 2: Convert to fraction form
    45,530/98,836 = 98,836/x
  3. Step 3: Cross multiply
    45,530x = 98,836 × 98,836
  4. Step 4: Simplify right side
    45,530x = 9,768,554,896
  5. Step 5: Solve for x
    x = 9,768,554,896/45,530
  6. Step 6: Final answer
    x = 214,552.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.