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Finding the Third Proportional to 126,880,213.64 and 201,891,358.41

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Solution

The third proportional to 126,880,213.64 and 201,891,358.41 is: 321,248,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,880,213.64 : 201,891,358.41 = 201,891,358.41 : x
  2. Step 2: Convert to fraction form
    126,880,213.64/201,891,358.41 = 201,891,358.41/x
  3. Step 3: Cross multiply
    126,880,213.64x = 201,891,358.41 × 201,891,358.41
  4. Step 4: Simplify right side
    126,880,213.64x = 40,760,120,599,120,896
  5. Step 5: Solve for x
    x = 40,760,120,599,120,896/126,880,213.64
  6. Step 6: Final answer
    x = 321,248,833.29

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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.