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Finding the Third Proportional to 99,749.84 and 150,659.53

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Solution

The third proportional to 99,749.84 and 150,659.53 is: 227,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,749.84 : 150,659.53 = 150,659.53 : x
  2. Step 2: Convert to fraction form
    99,749.84/150,659.53 = 150,659.53/x
  3. Step 3: Cross multiply
    99,749.84x = 150,659.53 × 150,659.53
  4. Step 4: Simplify right side
    99,749.84x = 22,698,292,590.93
  5. Step 5: Solve for x
    x = 22,698,292,590.93/99,749.84
  6. Step 6: Final answer
    x = 227,552.17

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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.