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Finding the Third Proportional to 36,986.63 and 78,899.06

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Solution

The third proportional to 36,986.63 and 78,899.06 is: 168,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,986.63 : 78,899.06 = 78,899.06 : x
  2. Step 2: Convert to fraction form
    36,986.63/78,899.06 = 78,899.06/x
  3. Step 3: Cross multiply
    36,986.63x = 78,899.06 × 78,899.06
  4. Step 4: Simplify right side
    36,986.63x = 6,225,062,063.38
  5. Step 5: Solve for x
    x = 6,225,062,063.38/36,986.63
  6. Step 6: Final answer
    x = 168,305.76

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