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Finding the Third Proportional to 141,150,583 and 305,751,001

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Solution

The third proportional to 141,150,583 and 305,751,001 is: 662,297,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,150,583 : 305,751,001 = 305,751,001 : x
  2. Step 2: Convert to fraction form
    141,150,583/305,751,001 = 305,751,001/x
  3. Step 3: Cross multiply
    141,150,583x = 305,751,001 × 305,751,001
  4. Step 4: Simplify right side
    141,150,583x = 93,483,674,612,502,000
  5. Step 5: Solve for x
    x = 93,483,674,612,502,000/141,150,583
  6. Step 6: Final answer
    x = 662,297,474.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.