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Finding the Third Proportional to 105,295,828 and 234,788,832

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Solution

The third proportional to 105,295,828 and 234,788,832 is: 523,532,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295,828 : 234,788,832 = 234,788,832 : x
  2. Step 2: Convert to fraction form
    105,295,828/234,788,832 = 234,788,832/x
  3. Step 3: Cross multiply
    105,295,828x = 234,788,832 × 234,788,832
  4. Step 4: Simplify right side
    105,295,828x = 55,125,795,631,924,224
  5. Step 5: Solve for x
    x = 55,125,795,631,924,224/105,295,828
  6. Step 6: Final answer
    x = 523,532,571.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.