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Finding the Third Proportional to 204,037,978 and 437,184,653

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Solution

The third proportional to 204,037,978 and 437,184,653 is: 936,739,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037,978 : 437,184,653 = 437,184,653 : x
  2. Step 2: Convert to fraction form
    204,037,978/437,184,653 = 437,184,653/x
  3. Step 3: Cross multiply
    204,037,978x = 437,184,653 × 437,184,653
  4. Step 4: Simplify right side
    204,037,978x = 191,130,420,818,730,400
  5. Step 5: Solve for x
    x = 191,130,420,818,730,400/204,037,978
  6. Step 6: Final answer
    x = 936,739,437.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.