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Finding the Third Proportional to 143,745,616 and 312,676,936

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Solution

The third proportional to 143,745,616 and 312,676,936 is: 680,138,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,745,616 : 312,676,936 = 312,676,936 : x
  2. Step 2: Convert to fraction form
    143,745,616/312,676,936 = 312,676,936/x
  3. Step 3: Cross multiply
    143,745,616x = 312,676,936 × 312,676,936
  4. Step 4: Simplify right side
    143,745,616x = 97,766,866,306,348,096
  5. Step 5: Solve for x
    x = 97,766,866,306,348,096/143,745,616
  6. Step 6: Final answer
    x = 680,138,073.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.