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Finding the Third Proportional to 96,508.13 and 149,137.88

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Solution

The third proportional to 96,508.13 and 149,137.88 is: 230,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,508.13 : 149,137.88 = 149,137.88 : x
  2. Step 2: Convert to fraction form
    96,508.13/149,137.88 = 149,137.88/x
  3. Step 3: Cross multiply
    96,508.13x = 149,137.88 × 149,137.88
  4. Step 4: Simplify right side
    96,508.13x = 22,242,105,759.52
  5. Step 5: Solve for x
    x = 22,242,105,759.52/96,508.13
  6. Step 6: Final answer
    x = 230,468.74

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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.