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Finding the Third Proportional to 148,161,586 and 319,079,592

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Solution

The third proportional to 148,161,586 and 319,079,592 is: 687,167,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,161,586 : 319,079,592 = 319,079,592 : x
  2. Step 2: Convert to fraction form
    148,161,586/319,079,592 = 319,079,592/x
  3. Step 3: Cross multiply
    148,161,586x = 319,079,592 × 319,079,592
  4. Step 4: Simplify right side
    148,161,586x = 101,811,786,030,886,464
  5. Step 5: Solve for x
    x = 101,811,786,030,886,464/148,161,586
  6. Step 6: Final answer
    x = 687,167,225.86

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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.