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Finding the Third Proportional to 201,082,451 and 433,908,049

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Solution

The third proportional to 201,082,451 and 433,908,049 is: 936,313,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082,451 : 433,908,049 = 433,908,049 : x
  2. Step 2: Convert to fraction form
    201,082,451/433,908,049 = 433,908,049/x
  3. Step 3: Cross multiply
    201,082,451x = 433,908,049 × 433,908,049
  4. Step 4: Simplify right side
    201,082,451x = 188,276,194,986,986,400
  5. Step 5: Solve for x
    x = 188,276,194,986,986,400/201,082,451
  6. Step 6: Final answer
    x = 936,313,408.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.