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Finding the Third Proportional to 148,161,598 and 319,079,546.50

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Solution

The third proportional to 148,161,598 and 319,079,546.50 is: 687,166,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,161,598 : 319,079,546.50 = 319,079,546.50 : x
  2. Step 2: Convert to fraction form
    148,161,598/319,079,546.50 = 319,079,546.50/x
  3. Step 3: Cross multiply
    148,161,598x = 319,079,546.50 × 319,079,546.50
  4. Step 4: Simplify right side
    148,161,598x = 101,811,756,994,645,664
  5. Step 5: Solve for x
    x = 101,811,756,994,645,664/148,161,598
  6. Step 6: Final answer
    x = 687,166,974.23

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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.