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Finding the Third Proportional to 201,397,834 and 310,993,489

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Solution

The third proportional to 201,397,834 and 310,993,489 is: 480,228,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,834 : 310,993,489 = 310,993,489 : x
  2. Step 2: Convert to fraction form
    201,397,834/310,993,489 = 310,993,489/x
  3. Step 3: Cross multiply
    201,397,834x = 310,993,489 × 310,993,489
  4. Step 4: Simplify right side
    201,397,834x = 96,716,950,200,393,120
  5. Step 5: Solve for x
    x = 96,716,950,200,393,120/201,397,834
  6. Step 6: Final answer
    x = 480,228,353.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.