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Finding the Third Proportional to 96,997.50 and 144,900.56

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Solution

The third proportional to 96,997.50 and 144,900.56 is: 216,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,997.50 : 144,900.56 = 144,900.56 : x
  2. Step 2: Convert to fraction form
    96,997.50/144,900.56 = 144,900.56/x
  3. Step 3: Cross multiply
    96,997.50x = 144,900.56 × 144,900.56
  4. Step 4: Simplify right side
    96,997.50x = 20,996,173,012.82
  5. Step 5: Solve for x
    x = 20,996,173,012.82/96,997.50
  6. Step 6: Final answer
    x = 216,460.97

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