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Finding the Third Proportional to 99,916 and 150,533

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Solution

The third proportional to 99,916 and 150,533 is: 226,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,916 : 150,533 = 150,533 : x
  2. Step 2: Convert to fraction form
    99,916/150,533 = 150,533/x
  3. Step 3: Cross multiply
    99,916x = 150,533 × 150,533
  4. Step 4: Simplify right side
    99,916x = 22,660,184,089
  5. Step 5: Solve for x
    x = 22,660,184,089/99,916
  6. Step 6: Final answer
    x = 226,792.35

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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.