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Finding the Third Proportional to 146,093.63 and 219,140.44

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Solution

The third proportional to 146,093.63 and 219,140.44 is: 328,710.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,093.63 : 219,140.44 = 219,140.44 : x
  2. Step 2: Convert to fraction form
    146,093.63/219,140.44 = 219,140.44/x
  3. Step 3: Cross multiply
    146,093.63x = 219,140.44 × 219,140.44
  4. Step 4: Simplify right side
    146,093.63x = 48,022,531,347.69
  5. Step 5: Solve for x
    x = 48,022,531,347.69/146,093.63
  6. Step 6: Final answer
    x = 328,710.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.