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Finding the Third Proportional to 98,736 and 201,144

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Solution

The third proportional to 98,736 and 201,144 is: 409,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,736 : 201,144 = 201,144 : x
  2. Step 2: Convert to fraction form
    98,736/201,144 = 201,144/x
  3. Step 3: Cross multiply
    98,736x = 201,144 × 201,144
  4. Step 4: Simplify right side
    98,736x = 40,458,908,736
  5. Step 5: Solve for x
    x = 40,458,908,736/98,736
  6. Step 6: Final answer
    x = 409,768.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.