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Finding the Third Proportional to 105,649.13 and 234,920.25

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Solution

The third proportional to 105,649.13 and 234,920.25 is: 522,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,649.13 : 234,920.25 = 234,920.25 : x
  2. Step 2: Convert to fraction form
    105,649.13/234,920.25 = 234,920.25/x
  3. Step 3: Cross multiply
    105,649.13x = 234,920.25 × 234,920.25
  4. Step 4: Simplify right side
    105,649.13x = 55,187,523,860.06
  5. Step 5: Solve for x
    x = 55,187,523,860.06/105,649.13
  6. Step 6: Final answer
    x = 522,366.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.