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Finding the Third Proportional to 201,629,418.75 and 311,399,592.75

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Solution

The third proportional to 201,629,418.75 and 311,399,592.75 is: 480,930,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629,418.75 : 311,399,592.75 = 311,399,592.75 : x
  2. Step 2: Convert to fraction form
    201,629,418.75/311,399,592.75 = 311,399,592.75/x
  3. Step 3: Cross multiply
    201,629,418.75x = 311,399,592.75 × 311,399,592.75
  4. Step 4: Simplify right side
    201,629,418.75x = 96,969,706,364,865,856
  5. Step 5: Solve for x
    x = 96,969,706,364,865,856/201,629,418.75
  6. Step 6: Final answer
    x = 480,930,347.20

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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.