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Finding the Third Proportional to 149,133,078 and 324,080,496

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Solution

The third proportional to 149,133,078 and 324,080,496 is: 704,258,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,078 : 324,080,496 = 324,080,496 : x
  2. Step 2: Convert to fraction form
    149,133,078/324,080,496 = 324,080,496/x
  3. Step 3: Cross multiply
    149,133,078x = 324,080,496 × 324,080,496
  4. Step 4: Simplify right side
    149,133,078x = 105,028,167,887,606,016
  5. Step 5: Solve for x
    x = 105,028,167,887,606,016/149,133,078
  6. Step 6: Final answer
    x = 704,258,031.12

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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.