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Finding the Third Proportional to 96,838 and 228,964

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Solution

The third proportional to 96,838 and 228,964 is: 541,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838 : 228,964 = 228,964 : x
  2. Step 2: Convert to fraction form
    96,838/228,964 = 228,964/x
  3. Step 3: Cross multiply
    96,838x = 228,964 × 228,964
  4. Step 4: Simplify right side
    96,838x = 52,424,513,296
  5. Step 5: Solve for x
    x = 52,424,513,296/96,838
  6. Step 6: Final answer
    x = 541,363.03

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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.