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Finding the Third Proportional to 97,434.38 and 209,373

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Solution

The third proportional to 97,434.38 and 209,373 is: 449,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,434.38 : 209,373 = 209,373 : x
  2. Step 2: Convert to fraction form
    97,434.38/209,373 = 209,373/x
  3. Step 3: Cross multiply
    97,434.38x = 209,373 × 209,373
  4. Step 4: Simplify right side
    97,434.38x = 43,837,053,129
  5. Step 5: Solve for x
    x = 43,837,053,129/97,434.38
  6. Step 6: Final answer
    x = 449,913.63

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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.