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Finding the Third Proportional to 89,707 and 188,707

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Solution

The third proportional to 89,707 and 188,707 is: 396,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,707 : 188,707 = 188,707 : x
  2. Step 2: Convert to fraction form
    89,707/188,707 = 188,707/x
  3. Step 3: Cross multiply
    89,707x = 188,707 × 188,707
  4. Step 4: Simplify right side
    89,707x = 35,610,331,849
  5. Step 5: Solve for x
    x = 35,610,331,849/89,707
  6. Step 6: Final answer
    x = 396,962.69

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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.