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Finding the Third Proportional to 96,120.21 and 154,431.98

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Solution

The third proportional to 96,120.21 and 154,431.98 is: 248,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,120.21 : 154,431.98 = 154,431.98 : x
  2. Step 2: Convert to fraction form
    96,120.21/154,431.98 = 154,431.98/x
  3. Step 3: Cross multiply
    96,120.21x = 154,431.98 × 154,431.98
  4. Step 4: Simplify right side
    96,120.21x = 23,849,237,798.00
  5. Step 5: Solve for x
    x = 23,849,237,798.00/96,120.21
  6. Step 6: Final answer
    x = 248,118.87

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.