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Finding the Third Proportional to 207,267,926 and 443,233,664

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Solution

The third proportional to 207,267,926 and 443,233,664 is: 947,836,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267,926 : 443,233,664 = 443,233,664 : x
  2. Step 2: Convert to fraction form
    207,267,926/443,233,664 = 443,233,664/x
  3. Step 3: Cross multiply
    207,267,926x = 443,233,664 × 443,233,664
  4. Step 4: Simplify right side
    207,267,926x = 196,456,080,902,864,896
  5. Step 5: Solve for x
    x = 196,456,080,902,864,896/207,267,926
  6. Step 6: Final answer
    x = 947,836,381.12

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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.