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Finding the Third Proportional to 227,153,553.75 and 494,106,741

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Solution

The third proportional to 227,153,553.75 and 494,106,741 is: 1,074,786,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,553.75 : 494,106,741 = 494,106,741 : x
  2. Step 2: Convert to fraction form
    227,153,553.75/494,106,741 = 494,106,741/x
  3. Step 3: Cross multiply
    227,153,553.75x = 494,106,741 × 494,106,741
  4. Step 4: Simplify right side
    227,153,553.75x = 244,141,471,501,641,088
  5. Step 5: Solve for x
    x = 244,141,471,501,641,088/227,153,553.75
  6. Step 6: Final answer
    x = 1,074,786,053.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.