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Finding the Third Proportional to 151,765,233 and 326,548,458

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Solution

The third proportional to 151,765,233 and 326,548,458 is: 702,624,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,765,233 : 326,548,458 = 326,548,458 : x
  2. Step 2: Convert to fraction form
    151,765,233/326,548,458 = 326,548,458/x
  3. Step 3: Cross multiply
    151,765,233x = 326,548,458 × 326,548,458
  4. Step 4: Simplify right side
    151,765,233x = 106,633,895,422,177,760
  5. Step 5: Solve for x
    x = 106,633,895,422,177,760/151,765,233
  6. Step 6: Final answer
    x = 702,624,002.31

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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.