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Finding the Third Proportional to 319,135,608 and 698,805,180

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Solution

The third proportional to 319,135,608 and 698,805,180 is: 1,530,160,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,135,608 : 698,805,180 = 698,805,180 : x
  2. Step 2: Convert to fraction form
    319,135,608/698,805,180 = 698,805,180/x
  3. Step 3: Cross multiply
    319,135,608x = 698,805,180 × 698,805,180
  4. Step 4: Simplify right side
    319,135,608x = 488,328,679,594,832,384
  5. Step 5: Solve for x
    x = 488,328,679,594,832,384/319,135,608
  6. Step 6: Final answer
    x = 1,530,160,431.35

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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.