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Finding the Third Proportional to 194,899,299.75 and 433,374,847.88

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Solution

The third proportional to 194,899,299.75 and 433,374,847.88 is: 963,645,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,899,299.75 : 433,374,847.88 = 433,374,847.88 : x
  2. Step 2: Convert to fraction form
    194,899,299.75/433,374,847.88 = 433,374,847.88/x
  3. Step 3: Cross multiply
    194,899,299.75x = 433,374,847.88 × 433,374,847.88
  4. Step 4: Simplify right side
    194,899,299.75x = 187,813,758,770,679,392
  5. Step 5: Solve for x
    x = 187,813,758,770,679,392/194,899,299.75
  6. Step 6: Final answer
    x = 963,645,118.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.