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Finding the Third Proportional to 97,434 and 208,044

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Solution

The third proportional to 97,434 and 208,044 is: 444,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,434 : 208,044 = 208,044 : x
  2. Step 2: Convert to fraction form
    97,434/208,044 = 208,044/x
  3. Step 3: Cross multiply
    97,434x = 208,044 × 208,044
  4. Step 4: Simplify right side
    97,434x = 43,282,305,936
  5. Step 5: Solve for x
    x = 43,282,305,936/97,434
  6. Step 6: Final answer
    x = 444,221.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.