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Finding the Third Proportional to 204,037,976.11 and 437,184,648.84

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Solution

The third proportional to 204,037,976.11 and 437,184,648.84 is: 936,739,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037,976.11 : 437,184,648.84 = 437,184,648.84 : x
  2. Step 2: Convert to fraction form
    204,037,976.11/437,184,648.84 = 437,184,648.84/x
  3. Step 3: Cross multiply
    204,037,976.11x = 437,184,648.84 × 437,184,648.84
  4. Step 4: Simplify right side
    204,037,976.11x = 191,130,417,184,641,760
  5. Step 5: Solve for x
    x = 191,130,417,184,641,760/204,037,976.11
  6. Step 6: Final answer
    x = 936,739,428.75

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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.