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Finding the Third Proportional to 110,340.49 and 233,923.92

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Solution

The third proportional to 110,340.49 and 233,923.92 is: 495,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,340.49 : 233,923.92 = 233,923.92 : x
  2. Step 2: Convert to fraction form
    110,340.49/233,923.92 = 233,923.92/x
  3. Step 3: Cross multiply
    110,340.49x = 233,923.92 × 233,923.92
  4. Step 4: Simplify right side
    110,340.49x = 54,720,401,225.38
  5. Step 5: Solve for x
    x = 54,720,401,225.38/110,340.49
  6. Step 6: Final answer
    x = 495,923.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.