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Finding the Third Proportional to 93,408.19 and 204,347.81

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Solution

The third proportional to 93,408.19 and 204,347.81 is: 447,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,408.19 : 204,347.81 = 204,347.81 : x
  2. Step 2: Convert to fraction form
    93,408.19/204,347.81 = 204,347.81/x
  3. Step 3: Cross multiply
    93,408.19x = 204,347.81 × 204,347.81
  4. Step 4: Simplify right side
    93,408.19x = 41,758,028,473.54
  5. Step 5: Solve for x
    x = 41,758,028,473.54/93,408.19
  6. Step 6: Final answer
    x = 447,048.91

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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.