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Finding the Third Proportional to 232,302,819 and 505,572,504

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Solution

The third proportional to 232,302,819 and 505,572,504 is: 1,100,303,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,302,819 : 505,572,504 = 505,572,504 : x
  2. Step 2: Convert to fraction form
    232,302,819/505,572,504 = 505,572,504/x
  3. Step 3: Cross multiply
    232,302,819x = 505,572,504 × 505,572,504
  4. Step 4: Simplify right side
    232,302,819x = 255,603,556,800,830,016
  5. Step 5: Solve for x
    x = 255,603,556,800,830,016/232,302,819
  6. Step 6: Final answer
    x = 1,100,303,293.35

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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.