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Finding the Third Proportional to 36,957,540.94 and 85,554,321.19

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Solution

The third proportional to 36,957,540.94 and 85,554,321.19 is: 198,052,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,957,540.94 : 85,554,321.19 = 85,554,321.19 : x
  2. Step 2: Convert to fraction form
    36,957,540.94/85,554,321.19 = 85,554,321.19/x
  3. Step 3: Cross multiply
    36,957,540.94x = 85,554,321.19 × 85,554,321.19
  4. Step 4: Simplify right side
    36,957,540.94x = 7,319,541,873,853,911
  5. Step 5: Solve for x
    x = 7,319,541,873,853,911/36,957,540.94
  6. Step 6: Final answer
    x = 198,052,729.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.