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Finding the Third Proportional to 192,125,083.50 and 413,429,121

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Solution

The third proportional to 192,125,083.50 and 413,429,121 is: 889,647,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,125,083.50 : 413,429,121 = 413,429,121 : x
  2. Step 2: Convert to fraction form
    192,125,083.50/413,429,121 = 413,429,121/x
  3. Step 3: Cross multiply
    192,125,083.50x = 413,429,121 × 413,429,121
  4. Step 4: Simplify right side
    192,125,083.50x = 170,923,638,090,832,640
  5. Step 5: Solve for x
    x = 170,923,638,090,832,640/192,125,083.50
  6. Step 6: Final answer
    x = 889,647,697.10

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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.