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Finding the Third Proportional to 132,026.63 and 198,671.63

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Solution

The third proportional to 132,026.63 and 198,671.63 is: 298,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,026.63 : 198,671.63 = 198,671.63 : x
  2. Step 2: Convert to fraction form
    132,026.63/198,671.63 = 198,671.63/x
  3. Step 3: Cross multiply
    132,026.63x = 198,671.63 × 198,671.63
  4. Step 4: Simplify right side
    132,026.63x = 39,470,414,580.14
  5. Step 5: Solve for x
    x = 39,470,414,580.14/132,026.63
  6. Step 6: Final answer
    x = 298,957.99

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