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Finding the Third Proportional to 99,918 and 150,537

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Solution

The third proportional to 99,918 and 150,537 is: 226,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918 : 150,537 = 150,537 : x
  2. Step 2: Convert to fraction form
    99,918/150,537 = 150,537/x
  3. Step 3: Cross multiply
    99,918x = 150,537 × 150,537
  4. Step 4: Simplify right side
    99,918x = 22,661,388,369
  5. Step 5: Solve for x
    x = 22,661,388,369/99,918
  6. Step 6: Final answer
    x = 226,799.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.