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Finding the Third Proportional to 48,892,928 and 103,614,176

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Solution

The third proportional to 48,892,928 and 103,614,176 is: 219,579,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,928 : 103,614,176 = 103,614,176 : x
  2. Step 2: Convert to fraction form
    48,892,928/103,614,176 = 103,614,176/x
  3. Step 3: Cross multiply
    48,892,928x = 103,614,176 × 103,614,176
  4. Step 4: Simplify right side
    48,892,928x = 10,735,897,468,158,976
  5. Step 5: Solve for x
    x = 10,735,897,468,158,976/48,892,928
  6. Step 6: Final answer
    x = 219,579,761.48

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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.