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Finding the Third Proportional to 103,182.33 and 154,299.09

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Solution

The third proportional to 103,182.33 and 154,299.09 is: 230,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,182.33 : 154,299.09 = 154,299.09 : x
  2. Step 2: Convert to fraction form
    103,182.33/154,299.09 = 154,299.09/x
  3. Step 3: Cross multiply
    103,182.33x = 154,299.09 × 154,299.09
  4. Step 4: Simplify right side
    103,182.33x = 23,808,210,332.07
  5. Step 5: Solve for x
    x = 23,808,210,332.07/103,182.33
  6. Step 6: Final answer
    x = 230,739.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.