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Finding the Third Proportional to 98,961 and 201,378

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Solution

The third proportional to 98,961 and 201,378 is: 409,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,961 : 201,378 = 201,378 : x
  2. Step 2: Convert to fraction form
    98,961/201,378 = 201,378/x
  3. Step 3: Cross multiply
    98,961x = 201,378 × 201,378
  4. Step 4: Simplify right side
    98,961x = 40,553,098,884
  5. Step 5: Solve for x
    x = 40,553,098,884/98,961
  6. Step 6: Final answer
    x = 409,788.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.