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Finding the Third Proportional to 105,796.13 and 220,335.19

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Solution

The third proportional to 105,796.13 and 220,335.19 is: 458,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,796.13 : 220,335.19 = 220,335.19 : x
  2. Step 2: Convert to fraction form
    105,796.13/220,335.19 = 220,335.19/x
  3. Step 3: Cross multiply
    105,796.13x = 220,335.19 × 220,335.19
  4. Step 4: Simplify right side
    105,796.13x = 48,547,594,850.66
  5. Step 5: Solve for x
    x = 48,547,594,850.66/105,796.13
  6. Step 6: Final answer
    x = 458,878.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.