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Finding the Third Proportional to 103,276.13 and 218,954.25

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Solution

The third proportional to 103,276.13 and 218,954.25 is: 464,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,276.13 : 218,954.25 = 218,954.25 : x
  2. Step 2: Convert to fraction form
    103,276.13/218,954.25 = 218,954.25/x
  3. Step 3: Cross multiply
    103,276.13x = 218,954.25 × 218,954.25
  4. Step 4: Simplify right side
    103,276.13x = 47,940,963,593.06
  5. Step 5: Solve for x
    x = 47,940,963,593.06/103,276.13
  6. Step 6: Final answer
    x = 464,201.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.