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Finding the Third Proportional to 140,670,176 and 299,920,960

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Solution

The third proportional to 140,670,176 and 299,920,960 is: 639,457,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670,176 : 299,920,960 = 299,920,960 : x
  2. Step 2: Convert to fraction form
    140,670,176/299,920,960 = 299,920,960/x
  3. Step 3: Cross multiply
    140,670,176x = 299,920,960 × 299,920,960
  4. Step 4: Simplify right side
    140,670,176x = 89,952,582,247,321,600
  5. Step 5: Solve for x
    x = 89,952,582,247,321,600/140,670,176
  6. Step 6: Final answer
    x = 639,457,380.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.