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Finding the Third Proportional to 68,014.69 and 148,650.19

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Solution

The third proportional to 68,014.69 and 148,650.19 is: 324,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,014.69 : 148,650.19 = 148,650.19 : x
  2. Step 2: Convert to fraction form
    68,014.69/148,650.19 = 148,650.19/x
  3. Step 3: Cross multiply
    68,014.69x = 148,650.19 × 148,650.19
  4. Step 4: Simplify right side
    68,014.69x = 22,096,878,243.79
  5. Step 5: Solve for x
    x = 22,096,878,243.79/68,014.69
  6. Step 6: Final answer
    x = 324,883.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.