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Finding the Third Proportional to 201,397,724 and 310,993,322

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Solution

The third proportional to 201,397,724 and 310,993,322 is: 480,228,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,724 : 310,993,322 = 310,993,322 : x
  2. Step 2: Convert to fraction form
    201,397,724/310,993,322 = 310,993,322/x
  3. Step 3: Cross multiply
    201,397,724x = 310,993,322 × 310,993,322
  4. Step 4: Simplify right side
    201,397,724x = 96,716,846,328,595,680
  5. Step 5: Solve for x
    x = 96,716,846,328,595,680/201,397,724
  6. Step 6: Final answer
    x = 480,228,099.94

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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.