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Finding the Third Proportional to 223,471,213.88 and 481,095,790.88

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Solution

The third proportional to 223,471,213.88 and 481,095,790.88 is: 1,035,718,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,471,213.88 : 481,095,790.88 = 481,095,790.88 : x
  2. Step 2: Convert to fraction form
    223,471,213.88/481,095,790.88 = 481,095,790.88/x
  3. Step 3: Cross multiply
    223,471,213.88x = 481,095,790.88 × 481,095,790.88
  4. Step 4: Simplify right side
    223,471,213.88x = 231,453,159,997,641,728
  5. Step 5: Solve for x
    x = 231,453,159,997,641,728/223,471,213.88
  6. Step 6: Final answer
    x = 1,035,718,005.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.