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Finding the Third Proportional to 98,178 and 205,104

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Solution

The third proportional to 98,178 and 205,104 is: 428,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,178 : 205,104 = 205,104 : x
  2. Step 2: Convert to fraction form
    98,178/205,104 = 205,104/x
  3. Step 3: Cross multiply
    98,178x = 205,104 × 205,104
  4. Step 4: Simplify right side
    98,178x = 42,067,650,816
  5. Step 5: Solve for x
    x = 42,067,650,816/98,178
  6. Step 6: Final answer
    x = 428,483.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.