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Finding the Third Proportional to 100,657,977 and 220,156,122

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Solution

The third proportional to 100,657,977 and 220,156,122 is: 481,518,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657,977 : 220,156,122 = 220,156,122 : x
  2. Step 2: Convert to fraction form
    100,657,977/220,156,122 = 220,156,122/x
  3. Step 3: Cross multiply
    100,657,977x = 220,156,122 × 220,156,122
  4. Step 4: Simplify right side
    100,657,977x = 48,468,718,054,078,880
  5. Step 5: Solve for x
    x = 48,468,718,054,078,880/100,657,977
  6. Step 6: Final answer
    x = 481,518,896.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.