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Finding the Third Proportional to 97,026 and 208,807

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Solution

The third proportional to 97,026 and 208,807 is: 449,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,026 : 208,807 = 208,807 : x
  2. Step 2: Convert to fraction form
    97,026/208,807 = 208,807/x
  3. Step 3: Cross multiply
    97,026x = 208,807 × 208,807
  4. Step 4: Simplify right side
    97,026x = 43,600,363,249
  5. Step 5: Solve for x
    x = 43,600,363,249/97,026
  6. Step 6: Final answer
    x = 449,367.83

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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.