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Finding the Third Proportional to 141,796.13 and 219,665.25

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Solution

The third proportional to 141,796.13 and 219,665.25 is: 340,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,796.13 : 219,665.25 = 219,665.25 : x
  2. Step 2: Convert to fraction form
    141,796.13/219,665.25 = 219,665.25/x
  3. Step 3: Cross multiply
    141,796.13x = 219,665.25 × 219,665.25
  4. Step 4: Simplify right side
    141,796.13x = 48,252,822,057.56
  5. Step 5: Solve for x
    x = 48,252,822,057.56/141,796.13
  6. Step 6: Final answer
    x = 340,297.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.