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Finding the Third Proportional to 203,920,595.25 and 311,732,619.75

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Solution

The third proportional to 203,920,595.25 and 311,732,619.75 is: 476,544,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,920,595.25 : 311,732,619.75 = 311,732,619.75 : x
  2. Step 2: Convert to fraction form
    203,920,595.25/311,732,619.75 = 311,732,619.75/x
  3. Step 3: Cross multiply
    203,920,595.25x = 311,732,619.75 × 311,732,619.75
  4. Step 4: Simplify right side
    203,920,595.25x = 97,177,226,216,198,096
  5. Step 5: Solve for x
    x = 97,177,226,216,198,096/203,920,595.25
  6. Step 6: Final answer
    x = 476,544,441.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.