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Finding the Third Proportional to 270,109,201 and 581,168,878

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Solution

The third proportional to 270,109,201 and 581,168,878 is: 1,250,447,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,109,201 : 581,168,878 = 581,168,878 : x
  2. Step 2: Convert to fraction form
    270,109,201/581,168,878 = 581,168,878/x
  3. Step 3: Cross multiply
    270,109,201x = 581,168,878 × 581,168,878
  4. Step 4: Simplify right side
    270,109,201x = 337,757,264,755,778,880
  5. Step 5: Solve for x
    x = 337,757,264,755,778,880/270,109,201
  6. Step 6: Final answer
    x = 1,250,447,091.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.