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Finding the Third Proportional to 229,362,382,804 and 318,910,059,744

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Solution

The third proportional to 229,362,382,804 and 318,910,059,744 is: 443,418,946,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,362,382,804 : 318,910,059,744 = 318,910,059,744 : x
  2. Step 2: Convert to fraction form
    229,362,382,804/318,910,059,744 = 318,910,059,744/x
  3. Step 3: Cross multiply
    229,362,382,804x = 318,910,059,744 × 318,910,059,744
  4. Step 4: Simplify right side
    229,362,382,804x = 101,703,626,205,921,651,195,904
  5. Step 5: Solve for x
    x = 101,703,626,205,921,651,195,904/229,362,382,804
  6. Step 6: Final answer
    x = 443,418,946,745.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.