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Finding the Third Proportional to 45,855 and 100,350

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Solution

The third proportional to 45,855 and 100,350 is: 219,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,855 : 100,350 = 100,350 : x
  2. Step 2: Convert to fraction form
    45,855/100,350 = 100,350/x
  3. Step 3: Cross multiply
    45,855x = 100,350 × 100,350
  4. Step 4: Simplify right side
    45,855x = 10,070,122,500
  5. Step 5: Solve for x
    x = 10,070,122,500/45,855
  6. Step 6: Final answer
    x = 219,607.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.