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Finding the Third Proportional to 101,382,996 and 208,140,604

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Solution

The third proportional to 101,382,996 and 208,140,604 is: 427,315,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382,996 : 208,140,604 = 208,140,604 : x
  2. Step 2: Convert to fraction form
    101,382,996/208,140,604 = 208,140,604/x
  3. Step 3: Cross multiply
    101,382,996x = 208,140,604 × 208,140,604
  4. Step 4: Simplify right side
    101,382,996x = 43,322,511,033,484,816
  5. Step 5: Solve for x
    x = 43,322,511,033,484,816/101,382,996
  6. Step 6: Final answer
    x = 427,315,356.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.