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Finding the Third Proportional to 96,222 and 138,604.50

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Solution

The third proportional to 96,222 and 138,604.50 is: 199,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,222 : 138,604.50 = 138,604.50 : x
  2. Step 2: Convert to fraction form
    96,222/138,604.50 = 138,604.50/x
  3. Step 3: Cross multiply
    96,222x = 138,604.50 × 138,604.50
  4. Step 4: Simplify right side
    96,222x = 19,211,207,420.25
  5. Step 5: Solve for x
    x = 19,211,207,420.25/96,222
  6. Step 6: Final answer
    x = 199,655.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.