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Finding the Third Proportional to 96,833.75 and 228,954.50

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Solution

The third proportional to 96,833.75 and 228,954.50 is: 541,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,833.75 : 228,954.50 = 228,954.50 : x
  2. Step 2: Convert to fraction form
    96,833.75/228,954.50 = 228,954.50/x
  3. Step 3: Cross multiply
    96,833.75x = 228,954.50 × 228,954.50
  4. Step 4: Simplify right side
    96,833.75x = 52,420,163,070.25
  5. Step 5: Solve for x
    x = 52,420,163,070.25/96,833.75
  6. Step 6: Final answer
    x = 541,341.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.