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Finding the Third Proportional to 134,081.58 and 198,803.11

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Solution

The third proportional to 134,081.58 and 198,803.11 is: 294,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,081.58 : 198,803.11 = 198,803.11 : x
  2. Step 2: Convert to fraction form
    134,081.58/198,803.11 = 198,803.11/x
  3. Step 3: Cross multiply
    134,081.58x = 198,803.11 × 198,803.11
  4. Step 4: Simplify right side
    134,081.58x = 39,522,676,297.17
  5. Step 5: Solve for x
    x = 39,522,676,297.17/134,081.58
  6. Step 6: Final answer
    x = 294,765.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.