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Finding the Third Proportional to 141,048 and 206,168.63

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Solution

The third proportional to 141,048 and 206,168.63 is: 301,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048 : 206,168.63 = 206,168.63 : x
  2. Step 2: Convert to fraction form
    141,048/206,168.63 = 206,168.63/x
  3. Step 3: Cross multiply
    141,048x = 206,168.63 × 206,168.63
  4. Step 4: Simplify right side
    141,048x = 42,505,501,934.39
  5. Step 5: Solve for x
    x = 42,505,501,934.39/141,048
  6. Step 6: Final answer
    x = 301,354.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.