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Finding the Third Proportional to 45,909 and 98,819

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Solution

The third proportional to 45,909 and 98,819 is: 212,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,909 : 98,819 = 98,819 : x
  2. Step 2: Convert to fraction form
    45,909/98,819 = 98,819/x
  3. Step 3: Cross multiply
    45,909x = 98,819 × 98,819
  4. Step 4: Simplify right side
    45,909x = 9,765,194,761
  5. Step 5: Solve for x
    x = 9,765,194,761/45,909
  6. Step 6: Final answer
    x = 212,707.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.