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Finding the Third Proportional to 103,899.38 and 223,690.50

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Solution

The third proportional to 103,899.38 and 223,690.50 is: 481,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,899.38 : 223,690.50 = 223,690.50 : x
  2. Step 2: Convert to fraction form
    103,899.38/223,690.50 = 223,690.50/x
  3. Step 3: Cross multiply
    103,899.38x = 223,690.50 × 223,690.50
  4. Step 4: Simplify right side
    103,899.38x = 50,037,439,790.25
  5. Step 5: Solve for x
    x = 50,037,439,790.25/103,899.38
  6. Step 6: Final answer
    x = 481,595.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.