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Finding the Third Proportional to 148,162,072 and 319,080,554

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Solution

The third proportional to 148,162,072 and 319,080,554 is: 687,169,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,162,072 : 319,080,554 = 319,080,554 : x
  2. Step 2: Convert to fraction form
    148,162,072/319,080,554 = 319,080,554/x
  3. Step 3: Cross multiply
    148,162,072x = 319,080,554 × 319,080,554
  4. Step 4: Simplify right side
    148,162,072x = 101,812,399,940,946,912
  5. Step 5: Solve for x
    x = 101,812,399,940,946,912/148,162,072
  6. Step 6: Final answer
    x = 687,169,115.32

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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.