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Finding the Third Proportional to 107,888 and 220,060

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Solution

The third proportional to 107,888 and 220,060 is: 448,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,888 : 220,060 = 220,060 : x
  2. Step 2: Convert to fraction form
    107,888/220,060 = 220,060/x
  3. Step 3: Cross multiply
    107,888x = 220,060 × 220,060
  4. Step 4: Simplify right side
    107,888x = 48,426,403,600
  5. Step 5: Solve for x
    x = 48,426,403,600/107,888
  6. Step 6: Final answer
    x = 448,858.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.