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Finding the Third Proportional to 100,912 and 201,806

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Solution

The third proportional to 100,912 and 201,806 is: 403,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912 : 201,806 = 201,806 : x
  2. Step 2: Convert to fraction form
    100,912/201,806 = 201,806/x
  3. Step 3: Cross multiply
    100,912x = 201,806 × 201,806
  4. Step 4: Simplify right side
    100,912x = 40,725,661,636
  5. Step 5: Solve for x
    x = 40,725,661,636/100,912
  6. Step 6: Final answer
    x = 403,576.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.