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Finding the Third Proportional to 141,796.13 and 212,694.19

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Solution

The third proportional to 141,796.13 and 212,694.19 is: 319,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,796.13 : 212,694.19 = 212,694.19 : x
  2. Step 2: Convert to fraction form
    141,796.13/212,694.19 = 212,694.19/x
  3. Step 3: Cross multiply
    141,796.13x = 212,694.19 × 212,694.19
  4. Step 4: Simplify right side
    141,796.13x = 45,238,817,396.29
  5. Step 5: Solve for x
    x = 45,238,817,396.29/141,796.13
  6. Step 6: Final answer
    x = 319,041.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.