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Finding the Third Proportional to 83,138.63 and 181,829.25

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Solution

The third proportional to 83,138.63 and 181,829.25 is: 397,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.63 : 181,829.25 = 181,829.25 : x
  2. Step 2: Convert to fraction form
    83,138.63/181,829.25 = 181,829.25/x
  3. Step 3: Cross multiply
    83,138.63x = 181,829.25 × 181,829.25
  4. Step 4: Simplify right side
    83,138.63x = 33,061,876,155.56
  5. Step 5: Solve for x
    x = 33,061,876,155.56/83,138.63
  6. Step 6: Final answer
    x = 397,671.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.