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Finding the Third Proportional to 237,632,188 and 378,119,536

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Solution

The third proportional to 237,632,188 and 378,119,536 is: 601,662,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,632,188 : 378,119,536 = 378,119,536 : x
  2. Step 2: Convert to fraction form
    237,632,188/378,119,536 = 378,119,536/x
  3. Step 3: Cross multiply
    237,632,188x = 378,119,536 × 378,119,536
  4. Step 4: Simplify right side
    237,632,188x = 142,974,383,504,855,296
  5. Step 5: Solve for x
    x = 142,974,383,504,855,296/237,632,188
  6. Step 6: Final answer
    x = 601,662,530.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.