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Finding the Third Proportional to 105,494.99 and 230,999.74

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Solution

The third proportional to 105,494.99 and 230,999.74 is: 505,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,494.99 : 230,999.74 = 230,999.74 : x
  2. Step 2: Convert to fraction form
    105,494.99/230,999.74 = 230,999.74/x
  3. Step 3: Cross multiply
    105,494.99x = 230,999.74 × 230,999.74
  4. Step 4: Simplify right side
    105,494.99x = 53,360,879,537.18
  5. Step 5: Solve for x
    x = 53,360,879,537.18/105,494.99
  6. Step 6: Final answer
    x = 505,814.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.