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Finding the Third Proportional to 131,862.94 and 196,926.19

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Solution

The third proportional to 131,862.94 and 196,926.19 is: 294,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,862.94 : 196,926.19 = 196,926.19 : x
  2. Step 2: Convert to fraction form
    131,862.94/196,926.19 = 196,926.19/x
  3. Step 3: Cross multiply
    131,862.94x = 196,926.19 × 196,926.19
  4. Step 4: Simplify right side
    131,862.94x = 38,779,923,323.29
  5. Step 5: Solve for x
    x = 38,779,923,323.29/131,862.94
  6. Step 6: Final answer
    x = 294,092.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.