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Finding the Third Proportional to 160,126,314 and 324,708,330

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Solution

The third proportional to 160,126,314 and 324,708,330 is: 658,452,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,126,314 : 324,708,330 = 324,708,330 : x
  2. Step 2: Convert to fraction form
    160,126,314/324,708,330 = 324,708,330/x
  3. Step 3: Cross multiply
    160,126,314x = 324,708,330 × 324,708,330
  4. Step 4: Simplify right side
    160,126,314x = 105,435,499,571,388,896
  5. Step 5: Solve for x
    x = 105,435,499,571,388,896/160,126,314
  6. Step 6: Final answer
    x = 658,452,049.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.