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Finding the Third Proportional to 89,706 and 188,712

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Solution

The third proportional to 89,706 and 188,712 is: 396,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,706 : 188,712 = 188,712 : x
  2. Step 2: Convert to fraction form
    89,706/188,712 = 188,712/x
  3. Step 3: Cross multiply
    89,706x = 188,712 × 188,712
  4. Step 4: Simplify right side
    89,706x = 35,612,218,944
  5. Step 5: Solve for x
    x = 35,612,218,944/89,706
  6. Step 6: Final answer
    x = 396,988.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.