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Finding the Third Proportional to 131,923.69 and 204,401.81

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Solution

The third proportional to 131,923.69 and 204,401.81 is: 316,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,923.69 : 204,401.81 = 204,401.81 : x
  2. Step 2: Convert to fraction form
    131,923.69/204,401.81 = 204,401.81/x
  3. Step 3: Cross multiply
    131,923.69x = 204,401.81 × 204,401.81
  4. Step 4: Simplify right side
    131,923.69x = 41,780,100,953.29
  5. Step 5: Solve for x
    x = 41,780,100,953.29/131,923.69
  6. Step 6: Final answer
    x = 316,699.01

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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.