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Finding the Third Proportional to 97,851 and 210,177

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Solution

The third proportional to 97,851 and 210,177 is: 451,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,851 : 210,177 = 210,177 : x
  2. Step 2: Convert to fraction form
    97,851/210,177 = 210,177/x
  3. Step 3: Cross multiply
    97,851x = 210,177 × 210,177
  4. Step 4: Simplify right side
    97,851x = 44,174,371,329
  5. Step 5: Solve for x
    x = 44,174,371,329/97,851
  6. Step 6: Final answer
    x = 451,445.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.