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Finding the Third Proportional to 98,196 and 208,068

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Solution

The third proportional to 98,196 and 208,068 is: 440,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196 : 208,068 = 208,068 : x
  2. Step 2: Convert to fraction form
    98,196/208,068 = 208,068/x
  3. Step 3: Cross multiply
    98,196x = 208,068 × 208,068
  4. Step 4: Simplify right side
    98,196x = 43,292,292,624
  5. Step 5: Solve for x
    x = 43,292,292,624/98,196
  6. Step 6: Final answer
    x = 440,876.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.