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Finding the Third Proportional to 131,266.13 and 198,101.81

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Solution

The third proportional to 131,266.13 and 198,101.81 is: 298,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,266.13 : 198,101.81 = 198,101.81 : x
  2. Step 2: Convert to fraction form
    131,266.13/198,101.81 = 198,101.81/x
  3. Step 3: Cross multiply
    131,266.13x = 198,101.81 × 198,101.81
  4. Step 4: Simplify right side
    131,266.13x = 39,244,328,115.79
  5. Step 5: Solve for x
    x = 39,244,328,115.79/131,266.13
  6. Step 6: Final answer
    x = 298,967.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.