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Finding the Third Proportional to 89,251.88 and 194,779.69

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Solution

The third proportional to 89,251.88 and 194,779.69 is: 425,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,251.88 : 194,779.69 = 194,779.69 : x
  2. Step 2: Convert to fraction form
    89,251.88/194,779.69 = 194,779.69/x
  3. Step 3: Cross multiply
    89,251.88x = 194,779.69 × 194,779.69
  4. Step 4: Simplify right side
    89,251.88x = 37,939,126,662.60
  5. Step 5: Solve for x
    x = 37,939,126,662.60/89,251.88
  6. Step 6: Final answer
    x = 425,079.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.