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Finding the Third Proportional to 97,434.56 and 209,372.06

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Solution

The third proportional to 97,434.56 and 209,372.06 is: 449,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,434.56 : 209,372.06 = 209,372.06 : x
  2. Step 2: Convert to fraction form
    97,434.56/209,372.06 = 209,372.06/x
  3. Step 3: Cross multiply
    97,434.56x = 209,372.06 × 209,372.06
  4. Step 4: Simplify right side
    97,434.56x = 43,836,660,555.50
  5. Step 5: Solve for x
    x = 43,836,660,555.50/97,434.56
  6. Step 6: Final answer
    x = 449,908.73

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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.