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Finding the Third Proportional to 103,924 and 231,621.50

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Solution

The third proportional to 103,924 and 231,621.50 is: 516,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924 : 231,621.50 = 231,621.50 : x
  2. Step 2: Convert to fraction form
    103,924/231,621.50 = 231,621.50/x
  3. Step 3: Cross multiply
    103,924x = 231,621.50 × 231,621.50
  4. Step 4: Simplify right side
    103,924x = 53,648,519,262.25
  5. Step 5: Solve for x
    x = 53,648,519,262.25/103,924
  6. Step 6: Final answer
    x = 516,228.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.