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Finding the Third Proportional to 145,137.94 and 219,896.44

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Solution

The third proportional to 145,137.94 and 219,896.44 is: 333,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,137.94 : 219,896.44 = 219,896.44 : x
  2. Step 2: Convert to fraction form
    145,137.94/219,896.44 = 219,896.44/x
  3. Step 3: Cross multiply
    145,137.94x = 219,896.44 × 219,896.44
  4. Step 4: Simplify right side
    145,137.94x = 48,354,443,225.19
  5. Step 5: Solve for x
    x = 48,354,443,225.19/145,137.94
  6. Step 6: Final answer
    x = 333,161.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.