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Finding the Third Proportional to 149,133,050 and 324,080,434

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Solution

The third proportional to 149,133,050 and 324,080,434 is: 704,257,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,050 : 324,080,434 = 324,080,434 : x
  2. Step 2: Convert to fraction form
    149,133,050/324,080,434 = 324,080,434/x
  3. Step 3: Cross multiply
    149,133,050x = 324,080,434 × 324,080,434
  4. Step 4: Simplify right side
    149,133,050x = 105,028,127,701,628,352
  5. Step 5: Solve for x
    x = 105,028,127,701,628,352/149,133,050
  6. Step 6: Final answer
    x = 704,257,893.88

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