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Finding the Third Proportional to 194,999.91 and 299,596.22

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Solution

The third proportional to 194,999.91 and 299,596.22 is: 460,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,999.91 : 299,596.22 = 299,596.22 : x
  2. Step 2: Convert to fraction form
    194,999.91/299,596.22 = 299,596.22/x
  3. Step 3: Cross multiply
    194,999.91x = 299,596.22 × 299,596.22
  4. Step 4: Simplify right side
    194,999.91x = 89,757,894,289.30
  5. Step 5: Solve for x
    x = 89,757,894,289.30/194,999.91
  6. Step 6: Final answer
    x = 460,297.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.