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Finding the Third Proportional to 129,204,250.50 and 198,596,274.75

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Solution

The third proportional to 129,204,250.50 and 198,596,274.75 is: 305,256,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,204,250.50 : 198,596,274.75 = 198,596,274.75 : x
  2. Step 2: Convert to fraction form
    129,204,250.50/198,596,274.75 = 198,596,274.75/x
  3. Step 3: Cross multiply
    129,204,250.50x = 198,596,274.75 × 198,596,274.75
  4. Step 4: Simplify right side
    129,204,250.50x = 39,440,480,344,577,488
  5. Step 5: Solve for x
    x = 39,440,480,344,577,488/129,204,250.50
  6. Step 6: Final answer
    x = 305,256,833.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.