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Finding the Third Proportional to 281,635,545 and 571,230,231

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Solution

The third proportional to 281,635,545 and 571,230,231 is: 1,158,603,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,635,545 : 571,230,231 = 571,230,231 : x
  2. Step 2: Convert to fraction form
    281,635,545/571,230,231 = 571,230,231/x
  3. Step 3: Cross multiply
    281,635,545x = 571,230,231 × 571,230,231
  4. Step 4: Simplify right side
    281,635,545x = 326,303,976,808,313,344
  5. Step 5: Solve for x
    x = 326,303,976,808,313,344/281,635,545
  6. Step 6: Final answer
    x = 1,158,603,672.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.