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Finding the Third Proportional to 201,352,836 and 310,647,885

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Solution

The third proportional to 201,352,836 and 310,647,885 is: 479,268,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352,836 : 310,647,885 = 310,647,885 : x
  2. Step 2: Convert to fraction form
    201,352,836/310,647,885 = 310,647,885/x
  3. Step 3: Cross multiply
    201,352,836x = 310,647,885 × 310,647,885
  4. Step 4: Simplify right side
    201,352,836x = 96,502,108,454,973,232
  5. Step 5: Solve for x
    x = 96,502,108,454,973,232/201,352,836
  6. Step 6: Final answer
    x = 479,268,682.64

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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.