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Finding the Third Proportional to 97,106.25 and 211,865.25

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Solution

The third proportional to 97,106.25 and 211,865.25 is: 462,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,106.25 : 211,865.25 = 211,865.25 : x
  2. Step 2: Convert to fraction form
    97,106.25/211,865.25 = 211,865.25/x
  3. Step 3: Cross multiply
    97,106.25x = 211,865.25 × 211,865.25
  4. Step 4: Simplify right side
    97,106.25x = 44,886,884,157.56
  5. Step 5: Solve for x
    x = 44,886,884,157.56/97,106.25
  6. Step 6: Final answer
    x = 462,245.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.