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Finding the Third Proportional to 40,930 and 89,660

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Solution

The third proportional to 40,930 and 89,660 is: 196,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930 : 89,660 = 89,660 : x
  2. Step 2: Convert to fraction form
    40,930/89,660 = 89,660/x
  3. Step 3: Cross multiply
    40,930x = 89,660 × 89,660
  4. Step 4: Simplify right side
    40,930x = 8,038,915,600
  5. Step 5: Solve for x
    x = 8,038,915,600/40,930
  6. Step 6: Final answer
    x = 196,406.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.