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Finding the Third Proportional to 97,168 and 212,335

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Solution

The third proportional to 97,168 and 212,335 is: 464,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,168 : 212,335 = 212,335 : x
  2. Step 2: Convert to fraction form
    97,168/212,335 = 212,335/x
  3. Step 3: Cross multiply
    97,168x = 212,335 × 212,335
  4. Step 4: Simplify right side
    97,168x = 45,086,152,225
  5. Step 5: Solve for x
    x = 45,086,152,225/97,168
  6. Step 6: Final answer
    x = 464,002.06

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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.