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Finding the Third Proportional to 207,268,064 and 443,233,940

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Solution

The third proportional to 207,268,064 and 443,233,940 is: 947,836,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,268,064 : 443,233,940 = 443,233,940 : x
  2. Step 2: Convert to fraction form
    207,268,064/443,233,940 = 443,233,940/x
  3. Step 3: Cross multiply
    207,268,064x = 443,233,940 × 443,233,940
  4. Step 4: Simplify right side
    207,268,064x = 196,456,325,567,923,584
  5. Step 5: Solve for x
    x = 196,456,325,567,923,584/207,268,064
  6. Step 6: Final answer
    x = 947,836,930.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.