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Finding the Third Proportional to 207,267,924 and 443,233,660

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Solution

The third proportional to 207,267,924 and 443,233,660 is: 947,836,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267,924 : 443,233,660 = 443,233,660 : x
  2. Step 2: Convert to fraction form
    207,267,924/443,233,660 = 443,233,660/x
  3. Step 3: Cross multiply
    207,267,924x = 443,233,660 × 443,233,660
  4. Step 4: Simplify right side
    207,267,924x = 196,456,077,356,995,584
  5. Step 5: Solve for x
    x = 196,456,077,356,995,584/207,267,924
  6. Step 6: Final answer
    x = 947,836,373.16

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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.