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Finding the Third Proportional to 97,164 and 212,496

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Solution

The third proportional to 97,164 and 212,496 is: 464,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,164 : 212,496 = 212,496 : x
  2. Step 2: Convert to fraction form
    97,164/212,496 = 212,496/x
  3. Step 3: Cross multiply
    97,164x = 212,496 × 212,496
  4. Step 4: Simplify right side
    97,164x = 45,154,550,016
  5. Step 5: Solve for x
    x = 45,154,550,016/97,164
  6. Step 6: Final answer
    x = 464,725.10

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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.