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Finding the Third Proportional to 133,647,759 and 212,661,976.50

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Solution

The third proportional to 133,647,759 and 212,661,976.50 is: 338,390,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,647,759 : 212,661,976.50 = 212,661,976.50 : x
  2. Step 2: Convert to fraction form
    133,647,759/212,661,976.50 = 212,661,976.50/x
  3. Step 3: Cross multiply
    133,647,759x = 212,661,976.50 × 212,661,976.50
  4. Step 4: Simplify right side
    133,647,759x = 45,225,116,248,886,552
  5. Step 5: Solve for x
    x = 45,225,116,248,886,552/133,647,759
  6. Step 6: Final answer
    x = 338,390,382.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.