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Finding the Third Proportional to 48,046,992 and 103,652,256

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Solution

The third proportional to 48,046,992 and 103,652,256 is: 223,610,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,992 : 103,652,256 = 103,652,256 : x
  2. Step 2: Convert to fraction form
    48,046,992/103,652,256 = 103,652,256/x
  3. Step 3: Cross multiply
    48,046,992x = 103,652,256 × 103,652,256
  4. Step 4: Simplify right side
    48,046,992x = 10,743,790,173,889,536
  5. Step 5: Solve for x
    x = 10,743,790,173,889,536/48,046,992
  6. Step 6: Final answer
    x = 223,610,047.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.