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Finding the Third Proportional to 97,427.39 and 209,358.84

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Solution

The third proportional to 97,427.39 and 209,358.84 is: 449,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,427.39 : 209,358.84 = 209,358.84 : x
  2. Step 2: Convert to fraction form
    97,427.39/209,358.84 = 209,358.84/x
  3. Step 3: Cross multiply
    97,427.39x = 209,358.84 × 209,358.84
  4. Step 4: Simplify right side
    97,427.39x = 43,831,125,456.34
  5. Step 5: Solve for x
    x = 43,831,125,456.34/97,427.39
  6. Step 6: Final answer
    x = 449,885.04

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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.