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Finding the Third Proportional to 81,894.38 and 173,633.63

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Solution

The third proportional to 81,894.38 and 173,633.63 is: 368,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,894.38 : 173,633.63 = 173,633.63 : x
  2. Step 2: Convert to fraction form
    81,894.38/173,633.63 = 173,633.63/x
  3. Step 3: Cross multiply
    81,894.38x = 173,633.63 × 173,633.63
  4. Step 4: Simplify right side
    81,894.38x = 30,148,635,730.64
  5. Step 5: Solve for x
    x = 30,148,635,730.64/81,894.38
  6. Step 6: Final answer
    x = 368,140.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.