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Finding the Third Proportional to 148,162,068 and 319,080,546

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Solution

The third proportional to 148,162,068 and 319,080,546 is: 687,169,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,162,068 : 319,080,546 = 319,080,546 : x
  2. Step 2: Convert to fraction form
    148,162,068/319,080,546 = 319,080,546/x
  3. Step 3: Cross multiply
    148,162,068x = 319,080,546 × 319,080,546
  4. Step 4: Simplify right side
    148,162,068x = 101,812,394,835,658,112
  5. Step 5: Solve for x
    x = 101,812,394,835,658,112/148,162,068
  6. Step 6: Final answer
    x = 687,169,099.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.