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Finding the Third Proportional to 95,797.69 and 145,022.91

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Solution

The third proportional to 95,797.69 and 145,022.91 is: 219,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,797.69 : 145,022.91 = 145,022.91 : x
  2. Step 2: Convert to fraction form
    95,797.69/145,022.91 = 145,022.91/x
  3. Step 3: Cross multiply
    95,797.69x = 145,022.91 × 145,022.91
  4. Step 4: Simplify right side
    95,797.69x = 21,031,643,337.20
  5. Step 5: Solve for x
    x = 21,031,643,337.20/95,797.69
  6. Step 6: Final answer
    x = 219,542.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.