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Finding the Third Proportional to 105,239.25 and 230,855.06

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Solution

The third proportional to 105,239.25 and 230,855.06 is: 506,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239.25 : 230,855.06 = 230,855.06 : x
  2. Step 2: Convert to fraction form
    105,239.25/230,855.06 = 230,855.06/x
  3. Step 3: Cross multiply
    105,239.25x = 230,855.06 × 230,855.06
  4. Step 4: Simplify right side
    105,239.25x = 53,294,059,881.88
  5. Step 5: Solve for x
    x = 53,294,059,881.88/105,239.25
  6. Step 6: Final answer
    x = 506,408.59

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