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Finding the Third Proportional to 99,761.63 and 215,348.63

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Solution

The third proportional to 99,761.63 and 215,348.63 is: 464,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.63 : 215,348.63 = 215,348.63 : x
  2. Step 2: Convert to fraction form
    99,761.63/215,348.63 = 215,348.63/x
  3. Step 3: Cross multiply
    99,761.63x = 215,348.63 × 215,348.63
  4. Step 4: Simplify right side
    99,761.63x = 46,375,030,289.39
  5. Step 5: Solve for x
    x = 46,375,030,289.39/99,761.63
  6. Step 6: Final answer
    x = 464,858.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.