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Finding the Third Proportional to 201,397,740 and 310,993,331

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Solution

The third proportional to 201,397,740 and 310,993,331 is: 480,228,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,740 : 310,993,331 = 310,993,331 : x
  2. Step 2: Convert to fraction form
    201,397,740/310,993,331 = 310,993,331/x
  3. Step 3: Cross multiply
    201,397,740x = 310,993,331 × 310,993,331
  4. Step 4: Simplify right side
    201,397,740x = 96,716,851,926,475,568
  5. Step 5: Solve for x
    x = 96,716,851,926,475,568/201,397,740
  6. Step 6: Final answer
    x = 480,228,089.58

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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.