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Finding the Third Proportional to 201,397,314 and 310,992,689

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Solution

The third proportional to 201,397,314 and 310,992,689 is: 480,227,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,314 : 310,992,689 = 310,992,689 : x
  2. Step 2: Convert to fraction form
    201,397,314/310,992,689 = 310,992,689/x
  3. Step 3: Cross multiply
    201,397,314x = 310,992,689 × 310,992,689
  4. Step 4: Simplify right side
    201,397,314x = 96,716,452,611,450,720
  5. Step 5: Solve for x
    x = 96,716,452,611,450,720/201,397,314
  6. Step 6: Final answer
    x = 480,227,122.65

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