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Finding the Third Proportional to 103,616 and 214,603

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Solution

The third proportional to 103,616 and 214,603 is: 444,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 214,603 = 214,603 : x
  2. Step 2: Convert to fraction form
    103,616/214,603 = 214,603/x
  3. Step 3: Cross multiply
    103,616x = 214,603 × 214,603
  4. Step 4: Simplify right side
    103,616x = 46,054,447,609
  5. Step 5: Solve for x
    x = 46,054,447,609/103,616
  6. Step 6: Final answer
    x = 444,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.