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Finding the Third Proportional to 97,220 and 212,008

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Solution

The third proportional to 97,220 and 212,008 is: 462,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220 : 212,008 = 212,008 : x
  2. Step 2: Convert to fraction form
    97,220/212,008 = 212,008/x
  3. Step 3: Cross multiply
    97,220x = 212,008 × 212,008
  4. Step 4: Simplify right side
    97,220x = 44,947,392,064
  5. Step 5: Solve for x
    x = 44,947,392,064/97,220
  6. Step 6: Final answer
    x = 462,326.60

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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.