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Finding the Third Proportional to 95,463.50 and 144,401.50

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Solution

The third proportional to 95,463.50 and 144,401.50 is: 218,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,463.50 : 144,401.50 = 144,401.50 : x
  2. Step 2: Convert to fraction form
    95,463.50/144,401.50 = 144,401.50/x
  3. Step 3: Cross multiply
    95,463.50x = 144,401.50 × 144,401.50
  4. Step 4: Simplify right side
    95,463.50x = 20,851,793,202.25
  5. Step 5: Solve for x
    x = 20,851,793,202.25/95,463.50
  6. Step 6: Final answer
    x = 218,426.87

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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.