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Finding the Third Proportional to 48,834,319.50 and 106,162,947

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Solution

The third proportional to 48,834,319.50 and 106,162,947 is: 230,792,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,834,319.50 : 106,162,947 = 106,162,947 : x
  2. Step 2: Convert to fraction form
    48,834,319.50/106,162,947 = 106,162,947/x
  3. Step 3: Cross multiply
    48,834,319.50x = 106,162,947 × 106,162,947
  4. Step 4: Simplify right side
    48,834,319.50x = 11,270,571,315,724,808
  5. Step 5: Solve for x
    x = 11,270,571,315,724,808/48,834,319.50
  6. Step 6: Final answer
    x = 230,792,021.49

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Why These Related Problems?

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