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Finding the Third Proportional to 94,738.36 and 202,603.78

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Solution

The third proportional to 94,738.36 and 202,603.78 is: 433,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,738.36 : 202,603.78 = 202,603.78 : x
  2. Step 2: Convert to fraction form
    94,738.36/202,603.78 = 202,603.78/x
  3. Step 3: Cross multiply
    94,738.36x = 202,603.78 × 202,603.78
  4. Step 4: Simplify right side
    94,738.36x = 41,048,292,176.80
  5. Step 5: Solve for x
    x = 41,048,292,176.80/94,738.36
  6. Step 6: Final answer
    x = 433,280.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.