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Finding the Third Proportional to 204,930,742.50 and 439,149,789

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Solution

The third proportional to 204,930,742.50 and 439,149,789 is: 941,062,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,742.50 : 439,149,789 = 439,149,789 : x
  2. Step 2: Convert to fraction form
    204,930,742.50/439,149,789 = 439,149,789/x
  3. Step 3: Cross multiply
    204,930,742.50x = 439,149,789 × 439,149,789
  4. Step 4: Simplify right side
    204,930,742.50x = 192,852,537,178,744,512
  5. Step 5: Solve for x
    x = 192,852,537,178,744,512/204,930,742.50
  6. Step 6: Final answer
    x = 941,062,013.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.