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Finding the Third Proportional to 45,447.75 and 96,725.25

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Solution

The third proportional to 45,447.75 and 96,725.25 is: 205,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447.75 : 96,725.25 = 96,725.25 : x
  2. Step 2: Convert to fraction form
    45,447.75/96,725.25 = 96,725.25/x
  3. Step 3: Cross multiply
    45,447.75x = 96,725.25 × 96,725.25
  4. Step 4: Simplify right side
    45,447.75x = 9,355,773,987.56
  5. Step 5: Solve for x
    x = 9,355,773,987.56/45,447.75
  6. Step 6: Final answer
    x = 205,857.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.