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Finding the Third Proportional to 44,538 and 98,004

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Solution

The third proportional to 44,538 and 98,004 is: 215,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,538 : 98,004 = 98,004 : x
  2. Step 2: Convert to fraction form
    44,538/98,004 = 98,004/x
  3. Step 3: Cross multiply
    44,538x = 98,004 × 98,004
  4. Step 4: Simplify right side
    44,538x = 9,604,784,016
  5. Step 5: Solve for x
    x = 9,604,784,016/44,538
  6. Step 6: Final answer
    x = 215,653.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.