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Finding the Third Proportional to 207,267,920 and 443,233,652

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Solution

The third proportional to 207,267,920 and 443,233,652 is: 947,836,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267,920 : 443,233,652 = 443,233,652 : x
  2. Step 2: Convert to fraction form
    207,267,920/443,233,652 = 443,233,652/x
  3. Step 3: Cross multiply
    207,267,920x = 443,233,652 × 443,233,652
  4. Step 4: Simplify right side
    207,267,920x = 196,456,070,265,257,088
  5. Step 5: Solve for x
    x = 196,456,070,265,257,088/207,267,920
  6. Step 6: Final answer
    x = 947,836,357.24

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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.