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Finding the Third Proportional to 99,576.84 and 215,753.63

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Solution

The third proportional to 99,576.84 and 215,753.63 is: 467,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,576.84 : 215,753.63 = 215,753.63 : x
  2. Step 2: Convert to fraction form
    99,576.84/215,753.63 = 215,753.63/x
  3. Step 3: Cross multiply
    99,576.84x = 215,753.63 × 215,753.63
  4. Step 4: Simplify right side
    99,576.84x = 46,549,626,700.64
  5. Step 5: Solve for x
    x = 46,549,626,700.64/99,576.84
  6. Step 6: Final answer
    x = 467,474.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.