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Finding the Third Proportional to 213,918,234.75 and 468,846,000

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Solution

The third proportional to 213,918,234.75 and 468,846,000 is: 1,027,572,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,918,234.75 : 468,846,000 = 468,846,000 : x
  2. Step 2: Convert to fraction form
    213,918,234.75/468,846,000 = 468,846,000/x
  3. Step 3: Cross multiply
    213,918,234.75x = 468,846,000 × 468,846,000
  4. Step 4: Simplify right side
    213,918,234.75x = 219,816,571,716,000,000
  5. Step 5: Solve for x
    x = 219,816,571,716,000,000/213,918,234.75
  6. Step 6: Final answer
    x = 1,027,572,857.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.