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Finding the Third Proportional to 149,133,054 and 324,080,441

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Solution

The third proportional to 149,133,054 and 324,080,441 is: 704,257,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,054 : 324,080,441 = 324,080,441 : x
  2. Step 2: Convert to fraction form
    149,133,054/324,080,441 = 324,080,441/x
  3. Step 3: Cross multiply
    149,133,054x = 324,080,441 × 324,080,441
  4. Step 4: Simplify right side
    149,133,054x = 105,028,132,238,754,480
  5. Step 5: Solve for x
    x = 105,028,132,238,754,480/149,133,054
  6. Step 6: Final answer
    x = 704,257,905.42

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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.