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Finding the Third Proportional to 103,963.50 and 239,437.69

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Solution

The third proportional to 103,963.50 and 239,437.69 is: 551,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.50 : 239,437.69 = 239,437.69 : x
  2. Step 2: Convert to fraction form
    103,963.50/239,437.69 = 239,437.69/x
  3. Step 3: Cross multiply
    103,963.50x = 239,437.69 × 239,437.69
  4. Step 4: Simplify right side
    103,963.50x = 57,330,406,195.35
  5. Step 5: Solve for x
    x = 57,330,406,195.35/103,963.50
  6. Step 6: Final answer
    x = 551,447.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.