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Finding the Third Proportional to 68,217.19 and 148,447.69

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Solution

The third proportional to 68,217.19 and 148,447.69 is: 323,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,217.19 : 148,447.69 = 148,447.69 : x
  2. Step 2: Convert to fraction form
    68,217.19/148,447.69 = 148,447.69/x
  3. Step 3: Cross multiply
    68,217.19x = 148,447.69 × 148,447.69
  4. Step 4: Simplify right side
    68,217.19x = 22,036,715,924.10
  5. Step 5: Solve for x
    x = 22,036,715,924.10/68,217.19
  6. Step 6: Final answer
    x = 323,037.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.