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Finding the Third Proportional to 97,033 and 212,110

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Solution

The third proportional to 97,033 and 212,110 is: 463,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,033 : 212,110 = 212,110 : x
  2. Step 2: Convert to fraction form
    97,033/212,110 = 212,110/x
  3. Step 3: Cross multiply
    97,033x = 212,110 × 212,110
  4. Step 4: Simplify right side
    97,033x = 44,990,652,100
  5. Step 5: Solve for x
    x = 44,990,652,100/97,033
  6. Step 6: Final answer
    x = 463,663.41

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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.