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Finding the Third Proportional to 171,084,680 and 368,877,328

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Solution

The third proportional to 171,084,680 and 368,877,328 is: 795,339,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,084,680 : 368,877,328 = 368,877,328 : x
  2. Step 2: Convert to fraction form
    171,084,680/368,877,328 = 368,877,328/x
  3. Step 3: Cross multiply
    171,084,680x = 368,877,328 × 368,877,328
  4. Step 4: Simplify right side
    171,084,680x = 136,070,483,112,419,584
  5. Step 5: Solve for x
    x = 136,070,483,112,419,584/171,084,680
  6. Step 6: Final answer
    x = 795,339,963.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.