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Finding the Third Proportional to 44,548.88 and 92,782.13

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Solution

The third proportional to 44,548.88 and 92,782.13 is: 193,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,548.88 : 92,782.13 = 92,782.13 : x
  2. Step 2: Convert to fraction form
    44,548.88/92,782.13 = 92,782.13/x
  3. Step 3: Cross multiply
    44,548.88x = 92,782.13 × 92,782.13
  4. Step 4: Simplify right side
    44,548.88x = 8,608,522,719.52
  5. Step 5: Solve for x
    x = 8,608,522,719.52/44,548.88
  6. Step 6: Final answer
    x = 193,237.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.