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Finding the Third Proportional to 98,768 and 213,104

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Solution

The third proportional to 98,768 and 213,104 is: 459,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,768 : 213,104 = 213,104 : x
  2. Step 2: Convert to fraction form
    98,768/213,104 = 213,104/x
  3. Step 3: Cross multiply
    98,768x = 213,104 × 213,104
  4. Step 4: Simplify right side
    98,768x = 45,413,314,816
  5. Step 5: Solve for x
    x = 45,413,314,816/98,768
  6. Step 6: Final answer
    x = 459,797.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.