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Finding the Third Proportional to 103,636 and 214,643

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Solution

The third proportional to 103,636 and 214,643 is: 444,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636 : 214,643 = 214,643 : x
  2. Step 2: Convert to fraction form
    103,636/214,643 = 214,643/x
  3. Step 3: Cross multiply
    103,636x = 214,643 × 214,643
  4. Step 4: Simplify right side
    103,636x = 46,071,617,449
  5. Step 5: Solve for x
    x = 46,071,617,449/103,636
  6. Step 6: Final answer
    x = 444,552.25

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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.