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Finding the Third Proportional to 238,152,443 and 512,796,075

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Solution

The third proportional to 238,152,443 and 512,796,075 is: 1,104,165,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,152,443 : 512,796,075 = 512,796,075 : x
  2. Step 2: Convert to fraction form
    238,152,443/512,796,075 = 512,796,075/x
  3. Step 3: Cross multiply
    238,152,443x = 512,796,075 × 512,796,075
  4. Step 4: Simplify right side
    238,152,443x = 262,959,814,535,405,632
  5. Step 5: Solve for x
    x = 262,959,814,535,405,632/238,152,443
  6. Step 6: Final answer
    x = 1,104,165,933.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.