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Finding the Third Proportional to 96,310.13 and 149,710.88

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Solution

The third proportional to 96,310.13 and 149,710.88 is: 232,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,310.13 : 149,710.88 = 149,710.88 : x
  2. Step 2: Convert to fraction form
    96,310.13/149,710.88 = 149,710.88/x
  3. Step 3: Cross multiply
    96,310.13x = 149,710.88 × 149,710.88
  4. Step 4: Simplify right side
    96,310.13x = 22,413,346,093.27
  5. Step 5: Solve for x
    x = 22,413,346,093.27/96,310.13
  6. Step 6: Final answer
    x = 232,720.56

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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.