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Finding the Third Proportional to 99,346.50 and 219,429

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Solution

The third proportional to 99,346.50 and 219,429 is: 484,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,346.50 : 219,429 = 219,429 : x
  2. Step 2: Convert to fraction form
    99,346.50/219,429 = 219,429/x
  3. Step 3: Cross multiply
    99,346.50x = 219,429 × 219,429
  4. Step 4: Simplify right side
    99,346.50x = 48,149,086,041
  5. Step 5: Solve for x
    x = 48,149,086,041/99,346.50
  6. Step 6: Final answer
    x = 484,658.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.