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Finding the Third Proportional to 105,323.63 and 219,398.63

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Solution

The third proportional to 105,323.63 and 219,398.63 is: 457,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,323.63 : 219,398.63 = 219,398.63 : x
  2. Step 2: Convert to fraction form
    105,323.63/219,398.63 = 219,398.63/x
  3. Step 3: Cross multiply
    105,323.63x = 219,398.63 × 219,398.63
  4. Step 4: Simplify right side
    105,323.63x = 48,135,756,651.89
  5. Step 5: Solve for x
    x = 48,135,756,651.89/105,323.63
  6. Step 6: Final answer
    x = 457,027.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.