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Finding the Third Proportional to 201,397,966 and 310,993,671

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Solution

The third proportional to 201,397,966 and 310,993,671 is: 480,228,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,966 : 310,993,671 = 310,993,671 : x
  2. Step 2: Convert to fraction form
    201,397,966/310,993,671 = 310,993,671/x
  3. Step 3: Cross multiply
    201,397,966x = 310,993,671 × 310,993,671
  4. Step 4: Simplify right side
    201,397,966x = 96,717,063,402,056,240
  5. Step 5: Solve for x
    x = 96,717,063,402,056,240/201,397,966
  6. Step 6: Final answer
    x = 480,228,600.73

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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.