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Finding the Third Proportional to 201,397,824 and 310,993,456

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Solution

The third proportional to 201,397,824 and 310,993,456 is: 480,228,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,824 : 310,993,456 = 310,993,456 : x
  2. Step 2: Convert to fraction form
    201,397,824/310,993,456 = 310,993,456/x
  3. Step 3: Cross multiply
    201,397,824x = 310,993,456 × 310,993,456
  4. Step 4: Simplify right side
    201,397,824x = 96,716,929,674,823,936
  5. Step 5: Solve for x
    x = 96,716,929,674,823,936/201,397,824
  6. Step 6: Final answer
    x = 480,228,275.33

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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.