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Finding the Third Proportional to 232,302,858 and 505,572,582

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Solution

The third proportional to 232,302,858 and 505,572,582 is: 1,100,303,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,302,858 : 505,572,582 = 505,572,582 : x
  2. Step 2: Convert to fraction form
    232,302,858/505,572,582 = 505,572,582/x
  3. Step 3: Cross multiply
    232,302,858x = 505,572,582 × 505,572,582
  4. Step 4: Simplify right side
    232,302,858x = 255,603,635,670,146,720
  5. Step 5: Solve for x
    x = 255,603,635,670,146,720/232,302,858
  6. Step 6: Final answer
    x = 1,100,303,448.14

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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.