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Finding the Third Proportional to 97,060 and 212,220

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Solution

The third proportional to 97,060 and 212,220 is: 464,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,060 : 212,220 = 212,220 : x
  2. Step 2: Convert to fraction form
    97,060/212,220 = 212,220/x
  3. Step 3: Cross multiply
    97,060x = 212,220 × 212,220
  4. Step 4: Simplify right side
    97,060x = 45,037,328,400
  5. Step 5: Solve for x
    x = 45,037,328,400/97,060
  6. Step 6: Final answer
    x = 464,015.33

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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.