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Finding the Third Proportional to 103,685 and 213,912

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Solution

The third proportional to 103,685 and 213,912 is: 441,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685 : 213,912 = 213,912 : x
  2. Step 2: Convert to fraction form
    103,685/213,912 = 213,912/x
  3. Step 3: Cross multiply
    103,685x = 213,912 × 213,912
  4. Step 4: Simplify right side
    103,685x = 45,758,343,744
  5. Step 5: Solve for x
    x = 45,758,343,744/103,685
  6. Step 6: Final answer
    x = 441,320.77

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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.