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Finding the Third Proportional to 99,175.13 and 218,031

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Solution

The third proportional to 99,175.13 and 218,031 is: 479,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,175.13 : 218,031 = 218,031 : x
  2. Step 2: Convert to fraction form
    99,175.13/218,031 = 218,031/x
  3. Step 3: Cross multiply
    99,175.13x = 218,031 × 218,031
  4. Step 4: Simplify right side
    99,175.13x = 47,537,516,961
  5. Step 5: Solve for x
    x = 47,537,516,961/99,175.13
  6. Step 6: Final answer
    x = 479,329.03

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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.