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Finding the Third Proportional to 97,477 and 209,458

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Solution

The third proportional to 97,477 and 209,458 is: 450,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,477 : 209,458 = 209,458 : x
  2. Step 2: Convert to fraction form
    97,477/209,458 = 209,458/x
  3. Step 3: Cross multiply
    97,477x = 209,458 × 209,458
  4. Step 4: Simplify right side
    97,477x = 43,872,653,764
  5. Step 5: Solve for x
    x = 43,872,653,764/97,477
  6. Step 6: Final answer
    x = 450,082.11

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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.