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Finding the Third Proportional to 103,815 and 220,546.13

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Solution

The third proportional to 103,815 and 220,546.13 is: 468,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815 : 220,546.13 = 220,546.13 : x
  2. Step 2: Convert to fraction form
    103,815/220,546.13 = 220,546.13/x
  3. Step 3: Cross multiply
    103,815x = 220,546.13 × 220,546.13
  4. Step 4: Simplify right side
    103,815x = 48,640,593,252.52
  5. Step 5: Solve for x
    x = 48,640,593,252.52/103,815
  6. Step 6: Final answer
    x = 468,531.46

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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.