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Finding the Third Proportional to 204,701,256 and 314,478,936

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Solution

The third proportional to 204,701,256 and 314,478,936 is: 483,128,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,701,256 : 314,478,936 = 314,478,936 : x
  2. Step 2: Convert to fraction form
    204,701,256/314,478,936 = 314,478,936/x
  3. Step 3: Cross multiply
    204,701,256x = 314,478,936 × 314,478,936
  4. Step 4: Simplify right side
    204,701,256x = 98,897,001,187,692,096
  5. Step 5: Solve for x
    x = 98,897,001,187,692,096/204,701,256
  6. Step 6: Final answer
    x = 483,128,453.24

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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.