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Finding the Third Proportional to 171,781,344 and 370,795,328

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Solution

The third proportional to 171,781,344 and 370,795,328 is: 800,373,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,781,344 : 370,795,328 = 370,795,328 : x
  2. Step 2: Convert to fraction form
    171,781,344/370,795,328 = 370,795,328/x
  3. Step 3: Cross multiply
    171,781,344x = 370,795,328 × 370,795,328
  4. Step 4: Simplify right side
    171,781,344x = 137,489,175,266,627,584
  5. Step 5: Solve for x
    x = 137,489,175,266,627,584/171,781,344
  6. Step 6: Final answer
    x = 800,373,149.17

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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.