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Finding the Third Proportional to 96,429 and 208,896

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Solution

The third proportional to 96,429 and 208,896 is: 452,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,429 : 208,896 = 208,896 : x
  2. Step 2: Convert to fraction form
    96,429/208,896 = 208,896/x
  3. Step 3: Cross multiply
    96,429x = 208,896 × 208,896
  4. Step 4: Simplify right side
    96,429x = 43,637,538,816
  5. Step 5: Solve for x
    x = 43,637,538,816/96,429
  6. Step 6: Final answer
    x = 452,535.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.