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Finding the Third Proportional to 106,401.94 and 233,534.81

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Solution

The third proportional to 106,401.94 and 233,534.81 is: 512,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,401.94 : 233,534.81 = 233,534.81 : x
  2. Step 2: Convert to fraction form
    106,401.94/233,534.81 = 233,534.81/x
  3. Step 3: Cross multiply
    106,401.94x = 233,534.81 × 233,534.81
  4. Step 4: Simplify right side
    106,401.94x = 54,538,508,649.41
  5. Step 5: Solve for x
    x = 54,538,508,649.41/106,401.94
  6. Step 6: Final answer
    x = 512,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.