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Finding the Third Proportional to 98,431.13 and 151,993.88

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Solution

The third proportional to 98,431.13 and 151,993.88 is: 234,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,431.13 : 151,993.88 = 151,993.88 : x
  2. Step 2: Convert to fraction form
    98,431.13/151,993.88 = 151,993.88/x
  3. Step 3: Cross multiply
    98,431.13x = 151,993.88 × 151,993.88
  4. Step 4: Simplify right side
    98,431.13x = 23,102,138,037.52
  5. Step 5: Solve for x
    x = 23,102,138,037.52/98,431.13
  6. Step 6: Final answer
    x = 234,703.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.