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Finding the Third Proportional to 268,229,743 and 410,043,287

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Solution

The third proportional to 268,229,743 and 410,043,287 is: 626,833,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,229,743 : 410,043,287 = 410,043,287 : x
  2. Step 2: Convert to fraction form
    268,229,743/410,043,287 = 410,043,287/x
  3. Step 3: Cross multiply
    268,229,743x = 410,043,287 × 410,043,287
  4. Step 4: Simplify right side
    268,229,743x = 168,135,497,213,764,384
  5. Step 5: Solve for x
    x = 168,135,497,213,764,384/268,229,743
  6. Step 6: Final answer
    x = 626,833,904.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.