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Finding the Third Proportional to 129,470.63 and 198,716.63

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Solution

The third proportional to 129,470.63 and 198,716.63 is: 304,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,470.63 : 198,716.63 = 198,716.63 : x
  2. Step 2: Convert to fraction form
    129,470.63/198,716.63 = 198,716.63/x
  3. Step 3: Cross multiply
    129,470.63x = 198,716.63 × 198,716.63
  4. Step 4: Simplify right side
    129,470.63x = 39,488,297,051.39
  5. Step 5: Solve for x
    x = 39,488,297,051.39/129,470.63
  6. Step 6: Final answer
    x = 304,998.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.