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Finding the Third Proportional to 96,930 and 211,861.50

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Solution

The third proportional to 96,930 and 211,861.50 is: 463,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,930 : 211,861.50 = 211,861.50 : x
  2. Step 2: Convert to fraction form
    96,930/211,861.50 = 211,861.50/x
  3. Step 3: Cross multiply
    96,930x = 211,861.50 × 211,861.50
  4. Step 4: Simplify right side
    96,930x = 44,885,295,182.25
  5. Step 5: Solve for x
    x = 44,885,295,182.25/96,930
  6. Step 6: Final answer
    x = 463,069.18

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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.