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Finding the Third Proportional to 237,864,333 and 512,167,536

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Solution

The third proportional to 237,864,333 and 512,167,536 is: 1,102,794,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,864,333 : 512,167,536 = 512,167,536 : x
  2. Step 2: Convert to fraction form
    237,864,333/512,167,536 = 512,167,536/x
  3. Step 3: Cross multiply
    237,864,333x = 512,167,536 × 512,167,536
  4. Step 4: Simplify right side
    237,864,333x = 262,315,584,932,311,296
  5. Step 5: Solve for x
    x = 262,315,584,932,311,296/237,864,333
  6. Step 6: Final answer
    x = 1,102,794,948.80

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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.