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Finding the Third Proportional to 210,105,265.50 and 335,647,658.25

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Solution

The third proportional to 210,105,265.50 and 335,647,658.25 is: 536,204,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105,265.50 : 335,647,658.25 = 335,647,658.25 : x
  2. Step 2: Convert to fraction form
    210,105,265.50/335,647,658.25 = 335,647,658.25/x
  3. Step 3: Cross multiply
    210,105,265.50x = 335,647,658.25 × 335,647,658.25
  4. Step 4: Simplify right side
    210,105,265.50x = 112,659,350,488,708,800
  5. Step 5: Solve for x
    x = 112,659,350,488,708,800/210,105,265.50
  6. Step 6: Final answer
    x = 536,204,317.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.