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Finding the Third Proportional to 149,133,048 and 324,080,426

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Solution

The third proportional to 149,133,048 and 324,080,426 is: 704,257,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,048 : 324,080,426 = 324,080,426 : x
  2. Step 2: Convert to fraction form
    149,133,048/324,080,426 = 324,080,426/x
  3. Step 3: Cross multiply
    149,133,048x = 324,080,426 × 324,080,426
  4. Step 4: Simplify right side
    149,133,048x = 105,028,122,516,341,472
  5. Step 5: Solve for x
    x = 105,028,122,516,341,472/149,133,048
  6. Step 6: Final answer
    x = 704,257,868.56

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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.