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Finding the Third Proportional to 150,217,584 and 320,276,862

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Solution

The third proportional to 150,217,584 and 320,276,862 is: 682,857,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,217,584 : 320,276,862 = 320,276,862 : x
  2. Step 2: Convert to fraction form
    150,217,584/320,276,862 = 320,276,862/x
  3. Step 3: Cross multiply
    150,217,584x = 320,276,862 × 320,276,862
  4. Step 4: Simplify right side
    150,217,584x = 102,577,268,332,567,040
  5. Step 5: Solve for x
    x = 102,577,268,332,567,040/150,217,584
  6. Step 6: Final answer
    x = 682,857,929.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.