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Finding the Third Proportional to 102,331.69 and 220,054.22

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Solution

The third proportional to 102,331.69 and 220,054.22 is: 473,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,331.69 : 220,054.22 = 220,054.22 : x
  2. Step 2: Convert to fraction form
    102,331.69/220,054.22 = 220,054.22/x
  3. Step 3: Cross multiply
    102,331.69x = 220,054.22 × 220,054.22
  4. Step 4: Simplify right side
    102,331.69x = 48,423,859,189.67
  5. Step 5: Solve for x
    x = 48,423,859,189.67/102,331.69
  6. Step 6: Final answer
    x = 473,204.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.