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Finding the Third Proportional to 97,226 and 212,020

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Solution

The third proportional to 97,226 and 212,020 is: 462,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,226 : 212,020 = 212,020 : x
  2. Step 2: Convert to fraction form
    97,226/212,020 = 212,020/x
  3. Step 3: Cross multiply
    97,226x = 212,020 × 212,020
  4. Step 4: Simplify right side
    97,226x = 44,952,480,400
  5. Step 5: Solve for x
    x = 44,952,480,400/97,226
  6. Step 6: Final answer
    x = 462,350.40

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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.