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Finding the Third Proportional to 174,979,884 and 382,914,456

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Solution

The third proportional to 174,979,884 and 382,914,456 is: 837,944,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,979,884 : 382,914,456 = 382,914,456 : x
  2. Step 2: Convert to fraction form
    174,979,884/382,914,456 = 382,914,456/x
  3. Step 3: Cross multiply
    174,979,884x = 382,914,456 × 382,914,456
  4. Step 4: Simplify right side
    174,979,884x = 146,623,480,613,775,936
  5. Step 5: Solve for x
    x = 146,623,480,613,775,936/174,979,884
  6. Step 6: Final answer
    x = 837,944,781.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.