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Finding the Third Proportional to 97,735.50 and 210,951

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Solution

The third proportional to 97,735.50 and 210,951 is: 455,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735.50 : 210,951 = 210,951 : x
  2. Step 2: Convert to fraction form
    97,735.50/210,951 = 210,951/x
  3. Step 3: Cross multiply
    97,735.50x = 210,951 × 210,951
  4. Step 4: Simplify right side
    97,735.50x = 44,500,324,401
  5. Step 5: Solve for x
    x = 44,500,324,401/97,735.50
  6. Step 6: Final answer
    x = 455,313.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.