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Finding the Third Proportional to 101,383,123.50 and 208,140,822.28

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Solution

The third proportional to 101,383,123.50 and 208,140,822.28 is: 427,315,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383,123.50 : 208,140,822.28 = 208,140,822.28 : x
  2. Step 2: Convert to fraction form
    101,383,123.50/208,140,822.28 = 208,140,822.28/x
  3. Step 3: Cross multiply
    101,383,123.50x = 208,140,822.28 × 208,140,822.28
  4. Step 4: Simplify right side
    101,383,123.50x = 43,322,601,899,914,896
  5. Step 5: Solve for x
    x = 43,322,601,899,914,896/101,383,123.50
  6. Step 6: Final answer
    x = 427,315,714.93

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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.