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Finding the Third Proportional to 97,998 and 212,592

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Solution

The third proportional to 97,998 and 212,592 is: 461,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998 : 212,592 = 212,592 : x
  2. Step 2: Convert to fraction form
    97,998/212,592 = 212,592/x
  3. Step 3: Cross multiply
    97,998x = 212,592 × 212,592
  4. Step 4: Simplify right side
    97,998x = 45,195,358,464
  5. Step 5: Solve for x
    x = 45,195,358,464/97,998
  6. Step 6: Final answer
    x = 461,186.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.