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Finding the Third Proportional to 97,049 and 212,152

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Solution

The third proportional to 97,049 and 212,152 is: 463,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,049 : 212,152 = 212,152 : x
  2. Step 2: Convert to fraction form
    97,049/212,152 = 212,152/x
  3. Step 3: Cross multiply
    97,049x = 212,152 × 212,152
  4. Step 4: Simplify right side
    97,049x = 45,008,471,104
  5. Step 5: Solve for x
    x = 45,008,471,104/97,049
  6. Step 6: Final answer
    x = 463,770.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.