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Finding the Third Proportional to 67,217.11 and 146,288.11

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Solution

The third proportional to 67,217.11 and 146,288.11 is: 318,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,217.11 : 146,288.11 = 146,288.11 : x
  2. Step 2: Convert to fraction form
    67,217.11/146,288.11 = 146,288.11/x
  3. Step 3: Cross multiply
    67,217.11x = 146,288.11 × 146,288.11
  4. Step 4: Simplify right side
    67,217.11x = 21,400,210,944.51
  5. Step 5: Solve for x
    x = 21,400,210,944.51/67,217.11
  6. Step 6: Final answer
    x = 318,374.46

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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.