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Finding the Third Proportional to 237,170,186 and 513,928,420

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Solution

The third proportional to 237,170,186 and 513,928,420 is: 1,113,640,906.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,170,186 : 513,928,420 = 513,928,420 : x
  2. Step 2: Convert to fraction form
    237,170,186/513,928,420 = 513,928,420/x
  3. Step 3: Cross multiply
    237,170,186x = 513,928,420 × 513,928,420
  4. Step 4: Simplify right side
    237,170,186x = 264,122,420,883,696,384
  5. Step 5: Solve for x
    x = 264,122,420,883,696,384/237,170,186
  6. Step 6: Final answer
    x = 1,113,640,906.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.