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Finding the Third Proportional to 107,135.02 and 223,137.14

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Solution

The third proportional to 107,135.02 and 223,137.14 is: 464,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,135.02 : 223,137.14 = 223,137.14 : x
  2. Step 2: Convert to fraction form
    107,135.02/223,137.14 = 223,137.14/x
  3. Step 3: Cross multiply
    107,135.02x = 223,137.14 × 223,137.14
  4. Step 4: Simplify right side
    107,135.02x = 49,790,183,526.30
  5. Step 5: Solve for x
    x = 49,790,183,526.30/107,135.02
  6. Step 6: Final answer
    x = 464,742.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.