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Finding the Third Proportional to 45,538 and 98,852

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Solution

The third proportional to 45,538 and 98,852 is: 214,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,538 : 98,852 = 98,852 : x
  2. Step 2: Convert to fraction form
    45,538/98,852 = 98,852/x
  3. Step 3: Cross multiply
    45,538x = 98,852 × 98,852
  4. Step 4: Simplify right side
    45,538x = 9,771,717,904
  5. Step 5: Solve for x
    x = 9,771,717,904/45,538
  6. Step 6: Final answer
    x = 214,583.82

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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.