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Finding the Third Proportional to 97,068 and 208,308

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Solution

The third proportional to 97,068 and 208,308 is: 447,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,068 : 208,308 = 208,308 : x
  2. Step 2: Convert to fraction form
    97,068/208,308 = 208,308/x
  3. Step 3: Cross multiply
    97,068x = 208,308 × 208,308
  4. Step 4: Simplify right side
    97,068x = 43,392,222,864
  5. Step 5: Solve for x
    x = 43,392,222,864/97,068
  6. Step 6: Final answer
    x = 447,029.12

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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.