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Finding the Third Proportional to 97,446.38 and 209,398.50

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Solution

The third proportional to 97,446.38 and 209,398.50 is: 449,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,446.38 : 209,398.50 = 209,398.50 : x
  2. Step 2: Convert to fraction form
    97,446.38/209,398.50 = 209,398.50/x
  3. Step 3: Cross multiply
    97,446.38x = 209,398.50 × 209,398.50
  4. Step 4: Simplify right side
    97,446.38x = 43,847,731,802.25
  5. Step 5: Solve for x
    x = 43,847,731,802.25/97,446.38
  6. Step 6: Final answer
    x = 449,967.81

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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.