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Finding the Third Proportional to 48,093,840 and 100,911,599

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Solution

The third proportional to 48,093,840 and 100,911,599 is: 211,735,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,093,840 : 100,911,599 = 100,911,599 : x
  2. Step 2: Convert to fraction form
    48,093,840/100,911,599 = 100,911,599/x
  3. Step 3: Cross multiply
    48,093,840x = 100,911,599 × 100,911,599
  4. Step 4: Simplify right side
    48,093,840x = 10,183,150,812,736,800
  5. Step 5: Solve for x
    x = 10,183,150,812,736,800/48,093,840
  6. Step 6: Final answer
    x = 211,735,033.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.