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Finding the Third Proportional to 207,267,946 and 443,233,706

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Solution

The third proportional to 207,267,946 and 443,233,706 is: 947,836,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267,946 : 443,233,706 = 443,233,706 : x
  2. Step 2: Convert to fraction form
    207,267,946/443,233,706 = 443,233,706/x
  3. Step 3: Cross multiply
    207,267,946x = 443,233,706 × 443,233,706
  4. Step 4: Simplify right side
    207,267,946x = 196,456,118,134,494,432
  5. Step 5: Solve for x
    x = 196,456,118,134,494,432/207,267,946
  6. Step 6: Final answer
    x = 947,836,469.29

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