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Finding the Third Proportional to 132,989.63 and 194,533.31

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Solution

The third proportional to 132,989.63 and 194,533.31 is: 284,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,989.63 : 194,533.31 = 194,533.31 : x
  2. Step 2: Convert to fraction form
    132,989.63/194,533.31 = 194,533.31/x
  3. Step 3: Cross multiply
    132,989.63x = 194,533.31 × 194,533.31
  4. Step 4: Simplify right side
    132,989.63x = 37,843,209,672.22
  5. Step 5: Solve for x
    x = 37,843,209,672.22/132,989.63
  6. Step 6: Final answer
    x = 284,557.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.