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Finding the Third Proportional to 97,222 and 212,012

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Solution

The third proportional to 97,222 and 212,012 is: 462,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,222 : 212,012 = 212,012 : x
  2. Step 2: Convert to fraction form
    97,222/212,012 = 212,012/x
  3. Step 3: Cross multiply
    97,222x = 212,012 × 212,012
  4. Step 4: Simplify right side
    97,222x = 44,949,088,144
  5. Step 5: Solve for x
    x = 44,949,088,144/97,222
  6. Step 6: Final answer
    x = 462,334.53

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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.