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Finding the Third Proportional to 107,896 and 220,076

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Solution

The third proportional to 107,896 and 220,076 is: 448,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,896 : 220,076 = 220,076 : x
  2. Step 2: Convert to fraction form
    107,896/220,076 = 220,076/x
  3. Step 3: Cross multiply
    107,896x = 220,076 × 220,076
  4. Step 4: Simplify right side
    107,896x = 48,433,445,776
  5. Step 5: Solve for x
    x = 48,433,445,776/107,896
  6. Step 6: Final answer
    x = 448,890.10

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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.