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Finding the Third Proportional to 89,996.63 and 192,801.75

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Solution

The third proportional to 89,996.63 and 192,801.75 is: 413,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,996.63 : 192,801.75 = 192,801.75 : x
  2. Step 2: Convert to fraction form
    89,996.63/192,801.75 = 192,801.75/x
  3. Step 3: Cross multiply
    89,996.63x = 192,801.75 × 192,801.75
  4. Step 4: Simplify right side
    89,996.63x = 37,172,514,803.06
  5. Step 5: Solve for x
    x = 37,172,514,803.06/89,996.63
  6. Step 6: Final answer
    x = 413,043.43

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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.