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Finding the Third Proportional to 211,524,539 and 448,443,766

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Solution

The third proportional to 211,524,539 and 448,443,766 is: 950,725,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524,539 : 448,443,766 = 448,443,766 : x
  2. Step 2: Convert to fraction form
    211,524,539/448,443,766 = 448,443,766/x
  3. Step 3: Cross multiply
    211,524,539x = 448,443,766 × 448,443,766
  4. Step 4: Simplify right side
    211,524,539x = 201,101,811,264,262,752
  5. Step 5: Solve for x
    x = 201,101,811,264,262,752/211,524,539
  6. Step 6: Final answer
    x = 950,725,680.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.