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Finding the Third Proportional to 117,746,942 and 175,469,565

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Solution

The third proportional to 117,746,942 and 175,469,565 is: 261,489,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,746,942 : 175,469,565 = 175,469,565 : x
  2. Step 2: Convert to fraction form
    117,746,942/175,469,565 = 175,469,565/x
  3. Step 3: Cross multiply
    117,746,942x = 175,469,565 × 175,469,565
  4. Step 4: Simplify right side
    117,746,942x = 30,789,568,241,289,224
  5. Step 5: Solve for x
    x = 30,789,568,241,289,224/117,746,942
  6. Step 6: Final answer
    x = 261,489,323.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.