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Finding the Third Proportional to 77,419.13 and 109,020.09

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Solution

The third proportional to 77,419.13 and 109,020.09 is: 153,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.13 : 109,020.09 = 109,020.09 : x
  2. Step 2: Convert to fraction form
    77,419.13/109,020.09 = 109,020.09/x
  3. Step 3: Cross multiply
    77,419.13x = 109,020.09 × 109,020.09
  4. Step 4: Simplify right side
    77,419.13x = 11,885,380,841.26
  5. Step 5: Solve for x
    x = 11,885,380,841.26/77,419.13
  6. Step 6: Final answer
    x = 153,519.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.