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Finding the Third Proportional to 110,009,054 and 233,131,828

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Solution

The third proportional to 110,009,054 and 233,131,828 is: 494,054,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,009,054 : 233,131,828 = 233,131,828 : x
  2. Step 2: Convert to fraction form
    110,009,054/233,131,828 = 233,131,828/x
  3. Step 3: Cross multiply
    110,009,054x = 233,131,828 × 233,131,828
  4. Step 4: Simplify right side
    110,009,054x = 54,350,449,226,621,584
  5. Step 5: Solve for x
    x = 54,350,449,226,621,584/110,009,054
  6. Step 6: Final answer
    x = 494,054,327.81

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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.