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Finding the Third Proportional to 107,905 and 220,095

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Solution

The third proportional to 107,905 and 220,095 is: 448,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,905 : 220,095 = 220,095 : x
  2. Step 2: Convert to fraction form
    107,905/220,095 = 220,095/x
  3. Step 3: Cross multiply
    107,905x = 220,095 × 220,095
  4. Step 4: Simplify right side
    107,905x = 48,441,809,025
  5. Step 5: Solve for x
    x = 48,441,809,025/107,905
  6. Step 6: Final answer
    x = 448,930.16

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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.