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Finding the Third Proportional to 148,161,846 and 319,080,048

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Solution

The third proportional to 148,161,846 and 319,080,048 is: 687,167,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,161,846 : 319,080,048 = 319,080,048 : x
  2. Step 2: Convert to fraction form
    148,161,846/319,080,048 = 319,080,048/x
  3. Step 3: Cross multiply
    148,161,846x = 319,080,048 × 319,080,048
  4. Step 4: Simplify right side
    148,161,846x = 101,812,077,031,682,304
  5. Step 5: Solve for x
    x = 101,812,077,031,682,304/148,161,846
  6. Step 6: Final answer
    x = 687,167,984.07

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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.