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Finding the Third Proportional to 48,019,475 and 103,321,986

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Solution

The third proportional to 48,019,475 and 103,321,986 is: 222,314,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,019,475 : 103,321,986 = 103,321,986 : x
  2. Step 2: Convert to fraction form
    48,019,475/103,321,986 = 103,321,986/x
  3. Step 3: Cross multiply
    48,019,475x = 103,321,986 × 103,321,986
  4. Step 4: Simplify right side
    48,019,475x = 10,675,432,790,984,196
  5. Step 5: Solve for x
    x = 10,675,432,790,984,196/48,019,475
  6. Step 6: Final answer
    x = 222,314,650.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.