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Finding the Third Proportional to 131,689 and 198,679.50

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Solution

The third proportional to 131,689 and 198,679.50 is: 299,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,689 : 198,679.50 = 198,679.50 : x
  2. Step 2: Convert to fraction form
    131,689/198,679.50 = 198,679.50/x
  3. Step 3: Cross multiply
    131,689x = 198,679.50 × 198,679.50
  4. Step 4: Simplify right side
    131,689x = 39,473,543,720.25
  5. Step 5: Solve for x
    x = 39,473,543,720.25/131,689
  6. Step 6: Final answer
    x = 299,748.22

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