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Finding the Third Proportional to 104,438.81 and 228,438.84

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Solution

The third proportional to 104,438.81 and 228,438.84 is: 499,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,438.81 : 228,438.84 = 228,438.84 : x
  2. Step 2: Convert to fraction form
    104,438.81/228,438.84 = 228,438.84/x
  3. Step 3: Cross multiply
    104,438.81x = 228,438.84 × 228,438.84
  4. Step 4: Simplify right side
    104,438.81x = 52,184,305,333.84
  5. Step 5: Solve for x
    x = 52,184,305,333.84/104,438.81
  6. Step 6: Final answer
    x = 499,663.91

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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.