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Finding the Third Proportional to 143,178,846,480 and 215,366,041,296

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Solution

The third proportional to 143,178,846,480 and 215,366,041,296 is: 323,948,215,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,178,846,480 : 215,366,041,296 = 215,366,041,296 : x
  2. Step 2: Convert to fraction form
    143,178,846,480/215,366,041,296 = 215,366,041,296/x
  3. Step 3: Cross multiply
    143,178,846,480x = 215,366,041,296 × 215,366,041,296
  4. Step 4: Simplify right side
    143,178,846,480x = 46,382,531,743,510,375,170,048
  5. Step 5: Solve for x
    x = 46,382,531,743,510,375,170,048/143,178,846,480
  6. Step 6: Final answer
    x = 323,948,215,003.88

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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.