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Finding the Third Proportional to 97,032 and 208,896

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Solution

The third proportional to 97,032 and 208,896 is: 449,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,032 : 208,896 = 208,896 : x
  2. Step 2: Convert to fraction form
    97,032/208,896 = 208,896/x
  3. Step 3: Cross multiply
    97,032x = 208,896 × 208,896
  4. Step 4: Simplify right side
    97,032x = 43,637,538,816
  5. Step 5: Solve for x
    x = 43,637,538,816/97,032
  6. Step 6: Final answer
    x = 449,723.17

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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.