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Finding the Third Proportional to 98,938.97 and 204,874.31

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Solution

The third proportional to 98,938.97 and 204,874.31 is: 424,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,938.97 : 204,874.31 = 204,874.31 : x
  2. Step 2: Convert to fraction form
    98,938.97/204,874.31 = 204,874.31/x
  3. Step 3: Cross multiply
    98,938.97x = 204,874.31 × 204,874.31
  4. Step 4: Simplify right side
    98,938.97x = 41,973,483,922.35
  5. Step 5: Solve for x
    x = 41,973,483,922.35/98,938.97
  6. Step 6: Final answer
    x = 424,236.12

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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.