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Finding the Third Proportional to 106,649.44 and 233,386.88

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Solution

The third proportional to 106,649.44 and 233,386.88 is: 510,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649.44 : 233,386.88 = 233,386.88 : x
  2. Step 2: Convert to fraction form
    106,649.44/233,386.88 = 233,386.88/x
  3. Step 3: Cross multiply
    106,649.44x = 233,386.88 × 233,386.88
  4. Step 4: Simplify right side
    106,649.44x = 54,469,433,422.27
  5. Step 5: Solve for x
    x = 54,469,433,422.27/106,649.44
  6. Step 6: Final answer
    x = 510,733.43

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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.