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Finding the Third Proportional to 100,616 and 207,712

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Solution

The third proportional to 100,616 and 207,712 is: 428,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616 : 207,712 = 207,712 : x
  2. Step 2: Convert to fraction form
    100,616/207,712 = 207,712/x
  3. Step 3: Cross multiply
    100,616x = 207,712 × 207,712
  4. Step 4: Simplify right side
    100,616x = 43,144,274,944
  5. Step 5: Solve for x
    x = 43,144,274,944/100,616
  6. Step 6: Final answer
    x = 428,801.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.