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Finding the Third Proportional to 97,562 and 212,808

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Solution

The third proportional to 97,562 and 212,808 is: 464,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,562 : 212,808 = 212,808 : x
  2. Step 2: Convert to fraction form
    97,562/212,808 = 212,808/x
  3. Step 3: Cross multiply
    97,562x = 212,808 × 212,808
  4. Step 4: Simplify right side
    97,562x = 45,287,244,864
  5. Step 5: Solve for x
    x = 45,287,244,864/97,562
  6. Step 6: Final answer
    x = 464,189.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.