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Finding the Third Proportional to 131,899 and 204,541.50

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Solution

The third proportional to 131,899 and 204,541.50 is: 317,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,899 : 204,541.50 = 204,541.50 : x
  2. Step 2: Convert to fraction form
    131,899/204,541.50 = 204,541.50/x
  3. Step 3: Cross multiply
    131,899x = 204,541.50 × 204,541.50
  4. Step 4: Simplify right side
    131,899x = 41,837,225,222.25
  5. Step 5: Solve for x
    x = 41,837,225,222.25/131,899
  6. Step 6: Final answer
    x = 317,191.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.