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Finding the Third Proportional to 101,382,998 and 208,140,608

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Solution

The third proportional to 101,382,998 and 208,140,608 is: 427,315,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382,998 : 208,140,608 = 208,140,608 : x
  2. Step 2: Convert to fraction form
    101,382,998/208,140,608 = 208,140,608/x
  3. Step 3: Cross multiply
    101,382,998x = 208,140,608 × 208,140,608
  4. Step 4: Simplify right side
    101,382,998x = 43,322,512,698,609,664
  5. Step 5: Solve for x
    x = 43,322,512,698,609,664/101,382,998
  6. Step 6: Final answer
    x = 427,315,364.05

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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.