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Finding the Third Proportional to 43,805.25 and 97,467.75

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Solution

The third proportional to 43,805.25 and 97,467.75 is: 216,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,805.25 : 97,467.75 = 97,467.75 : x
  2. Step 2: Convert to fraction form
    43,805.25/97,467.75 = 97,467.75/x
  3. Step 3: Cross multiply
    43,805.25x = 97,467.75 × 97,467.75
  4. Step 4: Simplify right side
    43,805.25x = 9,499,962,290.06
  5. Step 5: Solve for x
    x = 9,499,962,290.06/43,805.25
  6. Step 6: Final answer
    x = 216,868.12

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.