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Finding the Third Proportional to 45,441 and 98,065.69

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Solution

The third proportional to 45,441 and 98,065.69 is: 211,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 98,065.69 = 98,065.69 : x
  2. Step 2: Convert to fraction form
    45,441/98,065.69 = 98,065.69/x
  3. Step 3: Cross multiply
    45,441x = 98,065.69 × 98,065.69
  4. Step 4: Simplify right side
    45,441x = 9,616,879,064.85
  5. Step 5: Solve for x
    x = 9,616,879,064.85/45,441
  6. Step 6: Final answer
    x = 211,634.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.