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Finding the Third Proportional to 129,109.69 and 279,658.31

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Solution

The third proportional to 129,109.69 and 279,658.31 is: 605,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,109.69 : 279,658.31 = 279,658.31 : x
  2. Step 2: Convert to fraction form
    129,109.69/279,658.31 = 279,658.31/x
  3. Step 3: Cross multiply
    129,109.69x = 279,658.31 × 279,658.31
  4. Step 4: Simplify right side
    129,109.69x = 78,208,771,750.35
  5. Step 5: Solve for x
    x = 78,208,771,750.35/129,109.69
  6. Step 6: Final answer
    x = 605,754.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.