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Finding the Third Proportional to 45,014.63 and 96,701.25

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Solution

The third proportional to 45,014.63 and 96,701.25 is: 207,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,014.63 : 96,701.25 = 96,701.25 : x
  2. Step 2: Convert to fraction form
    45,014.63/96,701.25 = 96,701.25/x
  3. Step 3: Cross multiply
    45,014.63x = 96,701.25 × 96,701.25
  4. Step 4: Simplify right side
    45,014.63x = 9,351,131,751.56
  5. Step 5: Solve for x
    x = 9,351,131,751.56/45,014.63
  6. Step 6: Final answer
    x = 207,735.41

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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.