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Finding the Third Proportional to 103,065,759 and 213,305,586

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Solution

The third proportional to 103,065,759 and 213,305,586 is: 441,458,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,065,759 : 213,305,586 = 213,305,586 : x
  2. Step 2: Convert to fraction form
    103,065,759/213,305,586 = 213,305,586/x
  3. Step 3: Cross multiply
    103,065,759x = 213,305,586 × 213,305,586
  4. Step 4: Simplify right side
    103,065,759x = 45,499,273,018,803,392
  5. Step 5: Solve for x
    x = 45,499,273,018,803,392/103,065,759
  6. Step 6: Final answer
    x = 441,458,671.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.