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Finding the Third Proportional to 99,896.63 and 213,963.19

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Solution

The third proportional to 99,896.63 and 213,963.19 is: 458,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,896.63 : 213,963.19 = 213,963.19 : x
  2. Step 2: Convert to fraction form
    99,896.63/213,963.19 = 213,963.19/x
  3. Step 3: Cross multiply
    99,896.63x = 213,963.19 × 213,963.19
  4. Step 4: Simplify right side
    99,896.63x = 45,780,245,605.16
  5. Step 5: Solve for x
    x = 45,780,245,605.16/99,896.63
  6. Step 6: Final answer
    x = 458,276.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.