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Finding the Third Proportional to 149,133,038 and 324,080,407

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Solution

The third proportional to 149,133,038 and 324,080,407 is: 704,257,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,038 : 324,080,407 = 324,080,407 : x
  2. Step 2: Convert to fraction form
    149,133,038/324,080,407 = 324,080,407/x
  3. Step 3: Cross multiply
    149,133,038x = 324,080,407 × 324,080,407
  4. Step 4: Simplify right side
    149,133,038x = 105,028,110,201,285,648
  5. Step 5: Solve for x
    x = 105,028,110,201,285,648/149,133,038
  6. Step 6: Final answer
    x = 704,257,833.21

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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.