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Finding the Third Proportional to 149,133,061 and 324,080,464

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Solution

The third proportional to 149,133,061 and 324,080,464 is: 704,257,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,061 : 324,080,464 = 324,080,464 : x
  2. Step 2: Convert to fraction form
    149,133,061/324,080,464 = 324,080,464/x
  3. Step 3: Cross multiply
    149,133,061x = 324,080,464 × 324,080,464
  4. Step 4: Simplify right side
    149,133,061x = 105,028,147,146,455,296
  5. Step 5: Solve for x
    x = 105,028,147,146,455,296/149,133,061
  6. Step 6: Final answer
    x = 704,257,972.32

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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.