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Finding the Third Proportional to 45,858.02 and 100,400.77

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Solution

The third proportional to 45,858.02 and 100,400.77 is: 219,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,858.02 : 100,400.77 = 100,400.77 : x
  2. Step 2: Convert to fraction form
    45,858.02/100,400.77 = 100,400.77/x
  3. Step 3: Cross multiply
    45,858.02x = 100,400.77 × 100,400.77
  4. Step 4: Simplify right side
    45,858.02x = 10,080,313,738.09
  5. Step 5: Solve for x
    x = 10,080,313,738.09/45,858.02
  6. Step 6: Final answer
    x = 219,815.70

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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.