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Finding the Third Proportional to 96,903 and 208,646

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Solution

The third proportional to 96,903 and 208,646 is: 449,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,903 : 208,646 = 208,646 : x
  2. Step 2: Convert to fraction form
    96,903/208,646 = 208,646/x
  3. Step 3: Cross multiply
    96,903x = 208,646 × 208,646
  4. Step 4: Simplify right side
    96,903x = 43,533,153,316
  5. Step 5: Solve for x
    x = 43,533,153,316/96,903
  6. Step 6: Final answer
    x = 449,244.64

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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.