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Finding the Third Proportional to 36,886.22 and 79,968.09

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Solution

The third proportional to 36,886.22 and 79,968.09 is: 173,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,886.22 : 79,968.09 = 79,968.09 : x
  2. Step 2: Convert to fraction form
    36,886.22/79,968.09 = 79,968.09/x
  3. Step 3: Cross multiply
    36,886.22x = 79,968.09 × 79,968.09
  4. Step 4: Simplify right side
    36,886.22x = 6,394,896,018.01
  5. Step 5: Solve for x
    x = 6,394,896,018.01/36,886.22
  6. Step 6: Final answer
    x = 173,368.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.