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Finding the Third Proportional to 171,286,234.88 and 256,981,855.50

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Solution

The third proportional to 171,286,234.88 and 256,981,855.50 is: 385,551,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,286,234.88 : 256,981,855.50 = 256,981,855.50 : x
  2. Step 2: Convert to fraction form
    171,286,234.88/256,981,855.50 = 256,981,855.50/x
  3. Step 3: Cross multiply
    171,286,234.88x = 256,981,855.50 × 256,981,855.50
  4. Step 4: Simplify right side
    171,286,234.88x = 66,039,674,056,222,880
  5. Step 5: Solve for x
    x = 66,039,674,056,222,880/171,286,234.88
  6. Step 6: Final answer
    x = 385,551,554.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.