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Finding the Third Proportional to 148,704,109.50 and 322,112,571

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Solution

The third proportional to 148,704,109.50 and 322,112,571 is: 697,738,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,704,109.50 : 322,112,571 = 322,112,571 : x
  2. Step 2: Convert to fraction form
    148,704,109.50/322,112,571 = 322,112,571/x
  3. Step 3: Cross multiply
    148,704,109.50x = 322,112,571 × 322,112,571
  4. Step 4: Simplify right side
    148,704,109.50x = 103,756,508,396,230,048
  5. Step 5: Solve for x
    x = 103,756,508,396,230,048/148,704,109.50
  6. Step 6: Final answer
    x = 697,738,002.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.