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Finding the Third Proportional to 133,315.88 and 199,427.06

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Solution

The third proportional to 133,315.88 and 199,427.06 is: 298,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,315.88 : 199,427.06 = 199,427.06 : x
  2. Step 2: Convert to fraction form
    133,315.88/199,427.06 = 199,427.06/x
  3. Step 3: Cross multiply
    133,315.88x = 199,427.06 × 199,427.06
  4. Step 4: Simplify right side
    133,315.88x = 39,771,153,257.38
  5. Step 5: Solve for x
    x = 39,771,153,257.38/133,315.88
  6. Step 6: Final answer
    x = 298,322.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.