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Finding the Third Proportional to 99,188 and 218,032

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Solution

The third proportional to 99,188 and 218,032 is: 479,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,188 : 218,032 = 218,032 : x
  2. Step 2: Convert to fraction form
    99,188/218,032 = 218,032/x
  3. Step 3: Cross multiply
    99,188x = 218,032 × 218,032
  4. Step 4: Simplify right side
    99,188x = 47,537,953,024
  5. Step 5: Solve for x
    x = 47,537,953,024/99,188
  6. Step 6: Final answer
    x = 479,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.