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Finding the Third Proportional to 99,208 and 149,707

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Solution

The third proportional to 99,208 and 149,707 is: 225,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,208 : 149,707 = 149,707 : x
  2. Step 2: Convert to fraction form
    99,208/149,707 = 149,707/x
  3. Step 3: Cross multiply
    99,208x = 149,707 × 149,707
  4. Step 4: Simplify right side
    99,208x = 22,412,185,849
  5. Step 5: Solve for x
    x = 22,412,185,849/99,208
  6. Step 6: Final answer
    x = 225,911.07

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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.