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Finding the Third Proportional to 45,858.66 and 100,738.69

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Solution

The third proportional to 45,858.66 and 100,738.69 is: 221,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,858.66 : 100,738.69 = 100,738.69 : x
  2. Step 2: Convert to fraction form
    45,858.66/100,738.69 = 100,738.69/x
  3. Step 3: Cross multiply
    45,858.66x = 100,738.69 × 100,738.69
  4. Step 4: Simplify right side
    45,858.66x = 10,148,283,159.22
  5. Step 5: Solve for x
    x = 10,148,283,159.22/45,858.66
  6. Step 6: Final answer
    x = 221,294.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.