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Finding the Third Proportional to 232,302,855 and 505,572,576

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Solution

The third proportional to 232,302,855 and 505,572,576 is: 1,100,303,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,302,855 : 505,572,576 = 505,572,576 : x
  2. Step 2: Convert to fraction form
    232,302,855/505,572,576 = 505,572,576/x
  3. Step 3: Cross multiply
    232,302,855x = 505,572,576 × 505,572,576
  4. Step 4: Simplify right side
    232,302,855x = 255,603,629,603,275,776
  5. Step 5: Solve for x
    x = 255,603,629,603,275,776/232,302,855
  6. Step 6: Final answer
    x = 1,100,303,436.23

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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.