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Finding the Third Proportional to 129,579.75 and 199,902.94

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Solution

The third proportional to 129,579.75 and 199,902.94 is: 308,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,579.75 : 199,902.94 = 199,902.94 : x
  2. Step 2: Convert to fraction form
    129,579.75/199,902.94 = 199,902.94/x
  3. Step 3: Cross multiply
    129,579.75x = 199,902.94 × 199,902.94
  4. Step 4: Simplify right side
    129,579.75x = 39,961,184,421.13
  5. Step 5: Solve for x
    x = 39,961,184,421.13/129,579.75
  6. Step 6: Final answer
    x = 308,390.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.