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Finding the Third Proportional to 192,125,086.50 and 413,429,127

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Solution

The third proportional to 192,125,086.50 and 413,429,127 is: 889,647,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,125,086.50 : 413,429,127 = 413,429,127 : x
  2. Step 2: Convert to fraction form
    192,125,086.50/413,429,127 = 413,429,127/x
  3. Step 3: Cross multiply
    192,125,086.50x = 413,429,127 × 413,429,127
  4. Step 4: Simplify right side
    192,125,086.50x = 170,923,643,051,982,144
  5. Step 5: Solve for x
    x = 170,923,643,051,982,144/192,125,086.50
  6. Step 6: Final answer
    x = 889,647,709.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.