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Finding the Third Proportional to 140,670,180 and 299,920,968

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Solution

The third proportional to 140,670,180 and 299,920,968 is: 639,457,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670,180 : 299,920,968 = 299,920,968 : x
  2. Step 2: Convert to fraction form
    140,670,180/299,920,968 = 299,920,968/x
  3. Step 3: Cross multiply
    140,670,180x = 299,920,968 × 299,920,968
  4. Step 4: Simplify right side
    140,670,180x = 89,952,587,046,057,024
  5. Step 5: Solve for x
    x = 89,952,587,046,057,024/140,670,180
  6. Step 6: Final answer
    x = 639,457,396.34

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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.