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Finding the Third Proportional to 44,972.44 and 96,751.69

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Solution

The third proportional to 44,972.44 and 96,751.69 is: 208,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,972.44 : 96,751.69 = 96,751.69 : x
  2. Step 2: Convert to fraction form
    44,972.44/96,751.69 = 96,751.69/x
  3. Step 3: Cross multiply
    44,972.44x = 96,751.69 × 96,751.69
  4. Step 4: Simplify right side
    44,972.44x = 9,360,889,034.10
  5. Step 5: Solve for x
    x = 9,360,889,034.10/44,972.44
  6. Step 6: Final answer
    x = 208,147.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.