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Finding the Third Proportional to 167,289,568 and 362,371,532

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Solution

The third proportional to 167,289,568 and 362,371,532 is: 784,945,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,289,568 : 362,371,532 = 362,371,532 : x
  2. Step 2: Convert to fraction form
    167,289,568/362,371,532 = 362,371,532/x
  3. Step 3: Cross multiply
    167,289,568x = 362,371,532 × 362,371,532
  4. Step 4: Simplify right side
    167,289,568x = 131,313,127,204,027,024
  5. Step 5: Solve for x
    x = 131,313,127,204,027,024/167,289,568
  6. Step 6: Final answer
    x = 784,945,103.12

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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.