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Finding the Third Proportional to 48,122,505 and 103,915,422

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Solution

The third proportional to 48,122,505 and 103,915,422 is: 224,394,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122,505 : 103,915,422 = 103,915,422 : x
  2. Step 2: Convert to fraction form
    48,122,505/103,915,422 = 103,915,422/x
  3. Step 3: Cross multiply
    48,122,505x = 103,915,422 × 103,915,422
  4. Step 4: Simplify right side
    48,122,505x = 10,798,414,929,438,084
  5. Step 5: Solve for x
    x = 10,798,414,929,438,084/48,122,505
  6. Step 6: Final answer
    x = 224,394,281.42

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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.