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Finding the Third Proportional to 98,511 and 204,029

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Solution

The third proportional to 98,511 and 204,029 is: 422,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,511 : 204,029 = 204,029 : x
  2. Step 2: Convert to fraction form
    98,511/204,029 = 204,029/x
  3. Step 3: Cross multiply
    98,511x = 204,029 × 204,029
  4. Step 4: Simplify right side
    98,511x = 41,627,832,841
  5. Step 5: Solve for x
    x = 41,627,832,841/98,511
  6. Step 6: Final answer
    x = 422,570.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.