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Finding the Third Proportional to 132,498,631.50 and 201,131,616

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Solution

The third proportional to 132,498,631.50 and 201,131,616 is: 305,315,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,498,631.50 : 201,131,616 = 201,131,616 : x
  2. Step 2: Convert to fraction form
    132,498,631.50/201,131,616 = 201,131,616/x
  3. Step 3: Cross multiply
    132,498,631.50x = 201,131,616 × 201,131,616
  4. Step 4: Simplify right side
    132,498,631.50x = 40,453,926,954,771,456
  5. Step 5: Solve for x
    x = 40,453,926,954,771,456/132,498,631.50
  6. Step 6: Final answer
    x = 305,315,809.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.