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Finding the Third Proportional to 237,170,208 and 513,928,464

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Solution

The third proportional to 237,170,208 and 513,928,464 is: 1,113,640,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,170,208 : 513,928,464 = 513,928,464 : x
  2. Step 2: Convert to fraction form
    237,170,208/513,928,464 = 513,928,464/x
  3. Step 3: Cross multiply
    237,170,208x = 513,928,464 × 513,928,464
  4. Step 4: Simplify right side
    237,170,208x = 264,122,466,109,399,296
  5. Step 5: Solve for x
    x = 264,122,466,109,399,296/237,170,208
  6. Step 6: Final answer
    x = 1,113,640,993.68

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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.