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Finding the Third Proportional to 97,105.50 and 211,863.75

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Solution

The third proportional to 97,105.50 and 211,863.75 is: 462,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105.50 : 211,863.75 = 211,863.75 : x
  2. Step 2: Convert to fraction form
    97,105.50/211,863.75 = 211,863.75/x
  3. Step 3: Cross multiply
    97,105.50x = 211,863.75 × 211,863.75
  4. Step 4: Simplify right side
    97,105.50x = 44,886,248,564.06
  5. Step 5: Solve for x
    x = 44,886,248,564.06/97,105.50
  6. Step 6: Final answer
    x = 462,242.08

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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.