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Finding the Third Proportional to 45,141.05 and 97,218.98

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Solution

The third proportional to 45,141.05 and 97,218.98 is: 209,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,141.05 : 97,218.98 = 97,218.98 : x
  2. Step 2: Convert to fraction form
    45,141.05/97,218.98 = 97,218.98/x
  3. Step 3: Cross multiply
    45,141.05x = 97,218.98 × 97,218.98
  4. Step 4: Simplify right side
    45,141.05x = 9,451,530,922.91
  5. Step 5: Solve for x
    x = 9,451,530,922.91/45,141.05
  6. Step 6: Final answer
    x = 209,377.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.