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Finding the Third Proportional to 48,137,472 and 100,256,256

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Solution

The third proportional to 48,137,472 and 100,256,256 is: 208,804,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,137,472 : 100,256,256 = 100,256,256 : x
  2. Step 2: Convert to fraction form
    48,137,472/100,256,256 = 100,256,256/x
  3. Step 3: Cross multiply
    48,137,472x = 100,256,256 × 100,256,256
  4. Step 4: Simplify right side
    48,137,472x = 10,051,316,867,137,536
  5. Step 5: Solve for x
    x = 10,051,316,867,137,536/48,137,472
  6. Step 6: Final answer
    x = 208,804,418.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.