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Finding the Third Proportional to 65,508,097 and 140,218,524

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Solution

The third proportional to 65,508,097 and 140,218,524 is: 300,134,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508,097 : 140,218,524 = 140,218,524 : x
  2. Step 2: Convert to fraction form
    65,508,097/140,218,524 = 140,218,524/x
  3. Step 3: Cross multiply
    65,508,097x = 140,218,524 × 140,218,524
  4. Step 4: Simplify right side
    65,508,097x = 19,661,234,472,738,576
  5. Step 5: Solve for x
    x = 19,661,234,472,738,576/65,508,097
  6. Step 6: Final answer
    x = 300,134,416.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.