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Finding the Third Proportional to 96,105 and 224,503.50

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Solution

The third proportional to 96,105 and 224,503.50 is: 524,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,105 : 224,503.50 = 224,503.50 : x
  2. Step 2: Convert to fraction form
    96,105/224,503.50 = 224,503.50/x
  3. Step 3: Cross multiply
    96,105x = 224,503.50 × 224,503.50
  4. Step 4: Simplify right side
    96,105x = 50,401,821,512.25
  5. Step 5: Solve for x
    x = 50,401,821,512.25/96,105
  6. Step 6: Final answer
    x = 524,445.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.