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Finding the Third Proportional to 110,009,052 and 233,131,824

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Solution

The third proportional to 110,009,052 and 233,131,824 is: 494,054,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,052 : 233,131,824 = 233,131,824 : x
  2. Step 2: Convert to fraction form
    110,009,052/233,131,824 = 233,131,824/x
  3. Step 3: Cross multiply
    110,009,052x = 233,131,824 × 233,131,824
  4. Step 4: Simplify right side
    110,009,052x = 54,350,447,361,566,976
  5. Step 5: Solve for x
    x = 54,350,447,361,566,976/110,009,052
  6. Step 6: Final answer
    x = 494,054,319.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.