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Finding the Third Proportional to 140,670,182 and 299,920,972

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Solution

The third proportional to 140,670,182 and 299,920,972 is: 639,457,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670,182 : 299,920,972 = 299,920,972 : x
  2. Step 2: Convert to fraction form
    140,670,182/299,920,972 = 299,920,972/x
  3. Step 3: Cross multiply
    140,670,182x = 299,920,972 × 299,920,972
  4. Step 4: Simplify right side
    140,670,182x = 89,952,589,445,424,784
  5. Step 5: Solve for x
    x = 89,952,589,445,424,784/140,670,182
  6. Step 6: Final answer
    x = 639,457,404.31

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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.