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Finding the Third Proportional to 96,499.13 and 212,630.63

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Solution

The third proportional to 96,499.13 and 212,630.63 is: 468,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,499.13 : 212,630.63 = 212,630.63 : x
  2. Step 2: Convert to fraction form
    96,499.13/212,630.63 = 212,630.63/x
  3. Step 3: Cross multiply
    96,499.13x = 212,630.63 × 212,630.63
  4. Step 4: Simplify right side
    96,499.13x = 45,211,782,687.89
  5. Step 5: Solve for x
    x = 45,211,782,687.89/96,499.13
  6. Step 6: Final answer
    x = 468,520.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.