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Finding the Third Proportional to 101,740,124 and 220,369,720

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Solution

The third proportional to 101,740,124 and 220,369,720 is: 477,322,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740,124 : 220,369,720 = 220,369,720 : x
  2. Step 2: Convert to fraction form
    101,740,124/220,369,720 = 220,369,720/x
  3. Step 3: Cross multiply
    101,740,124x = 220,369,720 × 220,369,720
  4. Step 4: Simplify right side
    101,740,124x = 48,562,813,492,878,400
  5. Step 5: Solve for x
    x = 48,562,813,492,878,400/101,740,124
  6. Step 6: Final answer
    x = 477,322,137.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.